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Finding the Fourth Proportional to 68,385.30, 102,513.15 and 61,386.90

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Solution

The fourth proportional to 68,385.30, 102,513.15 and 61,386.90 is: 92,022.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,385.30 : 102,513.15 = 61,386.90 : x
  2. Step 2: Convert to fraction form
    68,385.30/102,513.15 = 61,386.90/x
  3. Step 3: Cross multiply
    68,385.30x = 102,513.15 × 61,386.90
  4. Step 4: Simplify right side
    68,385.30x = 6,292,964,487.74
  5. Step 5: Solve for x
    x = 6,292,964,487.74/68,385.30
  6. Step 6: Final answer
    x = 92,022.18

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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.