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Finding the Fourth Proportional to 77,070.69, 115,315.35 and 45,497.94

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Solution

The fourth proportional to 77,070.69, 115,315.35 and 45,497.94 is: 68,075.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,070.69 : 115,315.35 = 45,497.94 : x
  2. Step 2: Convert to fraction form
    77,070.69/115,315.35 = 45,497.94/x
  3. Step 3: Cross multiply
    77,070.69x = 115,315.35 × 45,497.94
  4. Step 4: Simplify right side
    77,070.69x = 5,246,610,875.38
  5. Step 5: Solve for x
    x = 5,246,610,875.38/77,070.69
  6. Step 6: Final answer
    x = 68,075.31

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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.