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Finding the Fourth Proportional to 97,687.69, 146,529.92 and 31,126.92

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Solution

The fourth proportional to 97,687.69, 146,529.92 and 31,126.92 is: 46,689.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,687.69 : 146,529.92 = 31,126.92 : x
  2. Step 2: Convert to fraction form
    97,687.69/146,529.92 = 31,126.92/x
  3. Step 3: Cross multiply
    97,687.69x = 146,529.92 × 31,126.92
  4. Step 4: Simplify right side
    97,687.69x = 4,561,024,625.78
  5. Step 5: Solve for x
    x = 4,561,024,625.78/97,687.69
  6. Step 6: Final answer
    x = 46,689.86

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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.