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Finding the Fourth Proportional to 257,735.28, 386,510.26 and 89,209.92

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Solution

The fourth proportional to 257,735.28, 386,510.26 and 89,209.92 is: 133,782.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,735.28 : 386,510.26 = 89,209.92 : x
  2. Step 2: Convert to fraction form
    257,735.28/386,510.26 = 89,209.92/x
  3. Step 3: Cross multiply
    257,735.28x = 386,510.26 × 89,209.92
  4. Step 4: Simplify right side
    257,735.28x = 34,480,549,373.78
  5. Step 5: Solve for x
    x = 34,480,549,373.78/257,735.28
  6. Step 6: Final answer
    x = 133,782.81

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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.