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Finding the Fourth Proportional to 78,487.70, 108,314.24 and 42,677.79

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Solution

The fourth proportional to 78,487.70, 108,314.24 and 42,677.79 is: 58,896.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,487.70 : 108,314.24 = 42,677.79 : x
  2. Step 2: Convert to fraction form
    78,487.70/108,314.24 = 42,677.79/x
  3. Step 3: Cross multiply
    78,487.70x = 108,314.24 × 42,677.79
  4. Step 4: Simplify right side
    78,487.70x = 4,622,612,175.34
  5. Step 5: Solve for x
    x = 4,622,612,175.34/78,487.70
  6. Step 6: Final answer
    x = 58,896.01

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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.