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Finding the Fourth Proportional to 135,915.73, 187,535.73 and 78,534.52

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Solution

The fourth proportional to 135,915.73, 187,535.73 and 78,534.52 is: 108,361.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,915.73 : 187,535.73 = 78,534.52 : x
  2. Step 2: Convert to fraction form
    135,915.73/187,535.73 = 78,534.52/x
  3. Step 3: Cross multiply
    135,915.73x = 187,535.73 × 78,534.52
  4. Step 4: Simplify right side
    135,915.73x = 14,728,028,538.40
  5. Step 5: Solve for x
    x = 14,728,028,538.40/135,915.73
  6. Step 6: Final answer
    x = 108,361.47

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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.