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Finding the Fourth Proportional to 159,314.17, 219,827.82 and 91,318.63

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Solution

The fourth proportional to 159,314.17, 219,827.82 and 91,318.63 is: 126,004.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,314.17 : 219,827.82 = 91,318.63 : x
  2. Step 2: Convert to fraction form
    159,314.17/219,827.82 = 91,318.63/x
  3. Step 3: Cross multiply
    159,314.17x = 219,827.82 × 91,318.63
  4. Step 4: Simplify right side
    159,314.17x = 20,074,375,151.16
  5. Step 5: Solve for x
    x = 20,074,375,151.16/159,314.17
  6. Step 6: Final answer
    x = 126,004.96

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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.