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Finding the Fourth Proportional to 78,416.80, 108,191.31 and 44,419.87

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Solution

The fourth proportional to 78,416.80, 108,191.31 and 44,419.87 is: 61,285.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,416.80 : 108,191.31 = 44,419.87 : x
  2. Step 2: Convert to fraction form
    78,416.80/108,191.31 = 44,419.87/x
  3. Step 3: Cross multiply
    78,416.80x = 108,191.31 × 44,419.87
  4. Step 4: Simplify right side
    78,416.80x = 4,805,843,925.33
  5. Step 5: Solve for x
    x = 4,805,843,925.33/78,416.80
  6. Step 6: Final answer
    x = 61,285.90

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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.