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Finding the Fourth Proportional to 115,732, 159,711.12 and 62,740

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Solution

The fourth proportional to 115,732, 159,711.12 and 62,740 is: 86,581.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,732 : 159,711.12 = 62,740 : x
  2. Step 2: Convert to fraction form
    115,732/159,711.12 = 62,740/x
  3. Step 3: Cross multiply
    115,732x = 159,711.12 × 62,740
  4. Step 4: Simplify right side
    115,732x = 10,020,275,668.80
  5. Step 5: Solve for x
    x = 10,020,275,668.80/115,732
  6. Step 6: Final answer
    x = 86,581.72

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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.