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Finding the Fourth Proportional to 78,677.55, 118,065.54 and 31,930.43

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Solution

The fourth proportional to 78,677.55, 118,065.54 and 31,930.43 is: 47,915.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,677.55 : 118,065.54 = 31,930.43 : x
  2. Step 2: Convert to fraction form
    78,677.55/118,065.54 = 31,930.43/x
  3. Step 3: Cross multiply
    78,677.55x = 118,065.54 × 31,930.43
  4. Step 4: Simplify right side
    78,677.55x = 3,769,883,097.34
  5. Step 5: Solve for x
    x = 3,769,883,097.34/78,677.55
  6. Step 6: Final answer
    x = 47,915.61

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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.