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Finding the Fourth Proportional to 342,641.57, 514,079.10 and 102,761.28

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Solution

The fourth proportional to 342,641.57, 514,079.10 and 102,761.28 is: 154,176.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,641.57 : 514,079.10 = 102,761.28 : x
  2. Step 2: Convert to fraction form
    342,641.57/514,079.10 = 102,761.28/x
  3. Step 3: Cross multiply
    342,641.57x = 514,079.10 × 102,761.28
  4. Step 4: Simplify right side
    342,641.57x = 52,827,426,337.25
  5. Step 5: Solve for x
    x = 52,827,426,337.25/342,641.57
  6. Step 6: Final answer
    x = 154,176.94

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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.