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Finding the Fourth Proportional to 78,977.67, 118,393.61 and 39,500.43

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Solution

The fourth proportional to 78,977.67, 118,393.61 and 39,500.43 is: 59,214.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,977.67 : 118,393.61 = 39,500.43 : x
  2. Step 2: Convert to fraction form
    78,977.67/118,393.61 = 39,500.43/x
  3. Step 3: Cross multiply
    78,977.67x = 118,393.61 × 39,500.43
  4. Step 4: Simplify right side
    78,977.67x = 4,676,598,306.75
  5. Step 5: Solve for x
    x = 4,676,598,306.75/78,977.67
  6. Step 6: Final answer
    x = 59,214.18

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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.