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Finding the Fourth Proportional to 78,538.88, 108,384.75 and 42,728.87

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Solution

The fourth proportional to 78,538.88, 108,384.75 and 42,728.87 is: 58,966.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,538.88 : 108,384.75 = 42,728.87 : x
  2. Step 2: Convert to fraction form
    78,538.88/108,384.75 = 42,728.87/x
  3. Step 3: Cross multiply
    78,538.88x = 108,384.75 × 42,728.87
  4. Step 4: Simplify right side
    78,538.88x = 4,631,157,350.81
  5. Step 5: Solve for x
    x = 4,631,157,350.81/78,538.88
  6. Step 6: Final answer
    x = 58,966.43

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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.