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Finding the Fourth Proportional to 258,989.12, 388,483.68 and 92,893.76

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Solution

The fourth proportional to 258,989.12, 388,483.68 and 92,893.76 is: 139,340.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,989.12 : 388,483.68 = 92,893.76 : x
  2. Step 2: Convert to fraction form
    258,989.12/388,483.68 = 92,893.76/x
  3. Step 3: Cross multiply
    258,989.12x = 388,483.68 × 92,893.76
  4. Step 4: Simplify right side
    258,989.12x = 36,087,709,733.84
  5. Step 5: Solve for x
    x = 36,087,709,733.84/258,989.12
  6. Step 6: Final answer
    x = 139,340.64

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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.