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Finding the Fourth Proportional to 101,324.80, 152,008.80 and 31,211.20

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Solution

The fourth proportional to 101,324.80, 152,008.80 and 31,211.20 is: 46,823.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,324.80 : 152,008.80 = 31,211.20 : x
  2. Step 2: Convert to fraction form
    101,324.80/152,008.80 = 31,211.20/x
  3. Step 3: Cross multiply
    101,324.80x = 152,008.80 × 31,211.20
  4. Step 4: Simplify right side
    101,324.80x = 4,744,377,058.56
  5. Step 5: Solve for x
    x = 4,744,377,058.56/101,324.80
  6. Step 6: Final answer
    x = 46,823.45

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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.