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Finding the Fourth Proportional to 78,654.74, 117,984.15 and 19,489.55

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Solution

The fourth proportional to 78,654.74, 117,984.15 and 19,489.55 is: 29,234.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,654.74 : 117,984.15 = 19,489.55 : x
  2. Step 2: Convert to fraction form
    78,654.74/117,984.15 = 19,489.55/x
  3. Step 3: Cross multiply
    78,654.74x = 117,984.15 × 19,489.55
  4. Step 4: Simplify right side
    78,654.74x = 2,299,457,400.71
  5. Step 5: Solve for x
    x = 2,299,457,400.71/78,654.74
  6. Step 6: Final answer
    x = 29,234.82

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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.