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Finding the Fourth Proportional to 78,294.48, 108,006.12 and 49,565.40

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Solution

The fourth proportional to 78,294.48, 108,006.12 and 49,565.40 is: 68,374.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,294.48 : 108,006.12 = 49,565.40 : x
  2. Step 2: Convert to fraction form
    78,294.48/108,006.12 = 49,565.40/x
  3. Step 3: Cross multiply
    78,294.48x = 108,006.12 × 49,565.40
  4. Step 4: Simplify right side
    78,294.48x = 5,353,366,540.25
  5. Step 5: Solve for x
    x = 5,353,366,540.25/78,294.48
  6. Step 6: Final answer
    x = 68,374.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.