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Finding the Fourth Proportional to 91,407.36, 137,091.84 and 25,728

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Solution

The fourth proportional to 91,407.36, 137,091.84 and 25,728 is: 38,586.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,407.36 : 137,091.84 = 25,728 : x
  2. Step 2: Convert to fraction form
    91,407.36/137,091.84 = 25,728/x
  3. Step 3: Cross multiply
    91,407.36x = 137,091.84 × 25,728
  4. Step 4: Simplify right side
    91,407.36x = 3,527,098,859.52
  5. Step 5: Solve for x
    x = 3,527,098,859.52/91,407.36
  6. Step 6: Final answer
    x = 38,586.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.