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Finding the Fourth Proportional to 242,651,875.90, 363,977,813.85 and 78,889,315.90

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Solution

The fourth proportional to 242,651,875.90, 363,977,813.85 and 78,889,315.90 is: 118,333,973.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,651,875.90 : 363,977,813.85 = 78,889,315.90 : x
  2. Step 2: Convert to fraction form
    242,651,875.90/363,977,813.85 = 78,889,315.90/x
  3. Step 3: Cross multiply
    242,651,875.90x = 363,977,813.85 × 78,889,315.90
  4. Step 4: Simplify right side
    242,651,875.90x = 28,713,960,737,404,048
  5. Step 5: Solve for x
    x = 28,713,960,737,404,048/242,651,875.90
  6. Step 6: Final answer
    x = 118,333,973.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.