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Finding the Fourth Proportional to 78,815.18, 108,781.13 and 48,193.50

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Solution

The fourth proportional to 78,815.18, 108,781.13 and 48,193.50 is: 66,516.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,815.18 : 108,781.13 = 48,193.50 : x
  2. Step 2: Convert to fraction form
    78,815.18/108,781.13 = 48,193.50/x
  3. Step 3: Cross multiply
    78,815.18x = 108,781.13 × 48,193.50
  4. Step 4: Simplify right side
    78,815.18x = 5,242,543,388.66
  5. Step 5: Solve for x
    x = 5,242,543,388.66/78,815.18
  6. Step 6: Final answer
    x = 66,516.92

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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.