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Finding the Fourth Proportional to 78,716.97, 118,092.23 and 25,411.98

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Solution

The fourth proportional to 78,716.97, 118,092.23 and 25,411.98 is: 38,123.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,716.97 : 118,092.23 = 25,411.98 : x
  2. Step 2: Convert to fraction form
    78,716.97/118,092.23 = 25,411.98/x
  3. Step 3: Cross multiply
    78,716.97x = 118,092.23 × 25,411.98
  4. Step 4: Simplify right side
    78,716.97x = 3,000,956,669.39
  5. Step 5: Solve for x
    x = 3,000,956,669.39/78,716.97
  6. Step 6: Final answer
    x = 38,123.38

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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.