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Finding the Fourth Proportional to 65,174.70, 89,935.71 and 38,318.34

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Solution

The fourth proportional to 65,174.70, 89,935.71 and 38,318.34 is: 52,876.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,174.70 : 89,935.71 = 38,318.34 : x
  2. Step 2: Convert to fraction form
    65,174.70/89,935.71 = 38,318.34/x
  3. Step 3: Cross multiply
    65,174.70x = 89,935.71 × 38,318.34
  4. Step 4: Simplify right side
    65,174.70x = 3,446,187,113.92
  5. Step 5: Solve for x
    x = 3,446,187,113.92/65,174.70
  6. Step 6: Final answer
    x = 52,876.15

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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.