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Finding the Fourth Proportional to 257,726.68, 386,497.37 and 89,201.25

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Solution

The fourth proportional to 257,726.68, 386,497.37 and 89,201.25 is: 133,769.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,726.68 : 386,497.37 = 89,201.25 : x
  2. Step 2: Convert to fraction form
    257,726.68/386,497.37 = 89,201.25/x
  3. Step 3: Cross multiply
    257,726.68x = 386,497.37 × 89,201.25
  4. Step 4: Simplify right side
    257,726.68x = 34,476,048,748.72
  5. Step 5: Solve for x
    x = 34,476,048,748.72/257,726.68
  6. Step 6: Final answer
    x = 133,769.81

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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.