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Finding the Fourth Proportional to 68,402.85, 102,639.80 and 51,757.93

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Solution

The fourth proportional to 68,402.85, 102,639.80 and 51,757.93 is: 77,663.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,402.85 : 102,639.80 = 51,757.93 : x
  2. Step 2: Convert to fraction form
    68,402.85/102,639.80 = 51,757.93/x
  3. Step 3: Cross multiply
    68,402.85x = 102,639.80 × 51,757.93
  4. Step 4: Simplify right side
    68,402.85x = 5,312,423,583.61
  5. Step 5: Solve for x
    x = 5,312,423,583.61/68,402.85
  6. Step 6: Final answer
    x = 77,663.78

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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.