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Finding the Fourth Proportional to 231,572.31, 319,468.35 and 136,035.91

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Solution

The fourth proportional to 231,572.31, 319,468.35 and 136,035.91 is: 187,669.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,572.31 : 319,468.35 = 136,035.91 : x
  2. Step 2: Convert to fraction form
    231,572.31/319,468.35 = 136,035.91/x
  3. Step 3: Cross multiply
    231,572.31x = 319,468.35 × 136,035.91
  4. Step 4: Simplify right side
    231,572.31x = 43,459,167,708.45
  5. Step 5: Solve for x
    x = 43,459,167,708.45/231,572.31
  6. Step 6: Final answer
    x = 187,669.97

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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.