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Finding the Fourth Proportional to 247,084.84, 370,654.48 and 78,565.74

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Solution

The fourth proportional to 247,084.84, 370,654.48 and 78,565.74 is: 117,857.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,084.84 : 370,654.48 = 78,565.74 : x
  2. Step 2: Convert to fraction form
    247,084.84/370,654.48 = 78,565.74/x
  3. Step 3: Cross multiply
    247,084.84x = 370,654.48 × 78,565.74
  4. Step 4: Simplify right side
    247,084.84x = 29,120,743,505.52
  5. Step 5: Solve for x
    x = 29,120,743,505.52/247,084.84
  6. Step 6: Final answer
    x = 117,857.27

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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.