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Finding the Fourth Proportional to 124,535.76, 186,609.24 and 71,970

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Solution

The fourth proportional to 124,535.76, 186,609.24 and 71,970 is: 107,842.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,535.76 : 186,609.24 = 71,970 : x
  2. Step 2: Convert to fraction form
    124,535.76/186,609.24 = 71,970/x
  3. Step 3: Cross multiply
    124,535.76x = 186,609.24 × 71,970
  4. Step 4: Simplify right side
    124,535.76x = 13,430,267,002.80
  5. Step 5: Solve for x
    x = 13,430,267,002.80/124,535.76
  6. Step 6: Final answer
    x = 107,842.66

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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.