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Finding the Fourth Proportional to 77,597.29, 116,396.70 and 42,517.81

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Solution

The fourth proportional to 77,597.29, 116,396.70 and 42,517.81 is: 63,777.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,597.29 : 116,396.70 = 42,517.81 : x
  2. Step 2: Convert to fraction form
    77,597.29/116,396.70 = 42,517.81/x
  3. Step 3: Cross multiply
    77,597.29x = 116,396.70 × 42,517.81
  4. Step 4: Simplify right side
    77,597.29x = 4,948,932,761.28
  5. Step 5: Solve for x
    x = 4,948,932,761.28/77,597.29
  6. Step 6: Final answer
    x = 63,777.13

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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.