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Finding the Fourth Proportional to 102,139.80, 153,234.25 and 32,019.11

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Solution

The fourth proportional to 102,139.80, 153,234.25 and 32,019.11 is: 48,036.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,139.80 : 153,234.25 = 32,019.11 : x
  2. Step 2: Convert to fraction form
    102,139.80/153,234.25 = 32,019.11/x
  3. Step 3: Cross multiply
    102,139.80x = 153,234.25 × 32,019.11
  4. Step 4: Simplify right side
    102,139.80x = 4,906,424,609.56
  5. Step 5: Solve for x
    x = 4,906,424,609.56/102,139.80
  6. Step 6: Final answer
    x = 48,036.36

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1.5x scale

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.