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Finding the Fourth Proportional to 78,545.76, 108,400.35 and 44,565.30

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Solution

The fourth proportional to 78,545.76, 108,400.35 and 44,565.30 is: 61,504.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,545.76 : 108,400.35 = 44,565.30 : x
  2. Step 2: Convert to fraction form
    78,545.76/108,400.35 = 44,565.30/x
  3. Step 3: Cross multiply
    78,545.76x = 108,400.35 × 44,565.30
  4. Step 4: Simplify right side
    78,545.76x = 4,830,894,117.86
  5. Step 5: Solve for x
    x = 4,830,894,117.86/78,545.76
  6. Step 6: Final answer
    x = 61,504.20

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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.