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Finding the Fourth Proportional to 159,453.50, 220,045.84 and 87,833.30

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Solution

The fourth proportional to 159,453.50, 220,045.84 and 87,833.30 is: 121,209.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,453.50 : 220,045.84 = 87,833.30 : x
  2. Step 2: Convert to fraction form
    159,453.50/220,045.84 = 87,833.30/x
  3. Step 3: Cross multiply
    159,453.50x = 220,045.84 × 87,833.30
  4. Step 4: Simplify right side
    159,453.50x = 19,327,352,278.47
  5. Step 5: Solve for x
    x = 19,327,352,278.47/159,453.50
  6. Step 6: Final answer
    x = 121,209.96

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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.