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Finding the Fourth Proportional to 78,540.87, 108,386.87 and 42,731.13

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Solution

The fourth proportional to 78,540.87, 108,386.87 and 42,731.13 is: 58,969.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,540.87 : 108,386.87 = 42,731.13 : x
  2. Step 2: Convert to fraction form
    78,540.87/108,386.87 = 42,731.13/x
  3. Step 3: Cross multiply
    78,540.87x = 108,386.87 × 42,731.13
  4. Step 4: Simplify right side
    78,540.87x = 4,631,493,502.68
  5. Step 5: Solve for x
    x = 4,631,493,502.68/78,540.87
  6. Step 6: Final answer
    x = 58,969.22

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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.