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Finding the Fourth Proportional to 130,332, 195,499.92 and 31,836

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Solution

The fourth proportional to 130,332, 195,499.92 and 31,836 is: 47,754.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,332 : 195,499.92 = 31,836 : x
  2. Step 2: Convert to fraction form
    130,332/195,499.92 = 31,836/x
  3. Step 3: Cross multiply
    130,332x = 195,499.92 × 31,836
  4. Step 4: Simplify right side
    130,332x = 6,223,935,453.12
  5. Step 5: Solve for x
    x = 6,223,935,453.12/130,332
  6. Step 6: Final answer
    x = 47,754.47

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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.