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Finding the Fourth Proportional to 257,407.86, 386,163.22 and 88,934.34

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Solution

The fourth proportional to 257,407.86, 386,163.22 and 88,934.34 is: 133,419.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,407.86 : 386,163.22 = 88,934.34 : x
  2. Step 2: Convert to fraction form
    257,407.86/386,163.22 = 88,934.34/x
  3. Step 3: Cross multiply
    257,407.86x = 386,163.22 × 88,934.34
  4. Step 4: Simplify right side
    257,407.86x = 34,343,171,102.97
  5. Step 5: Solve for x
    x = 34,343,171,102.97/257,407.86
  6. Step 6: Final answer
    x = 133,419.28

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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.