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Finding the Fourth Proportional to 159,499.48, 220,108.20 and 87,877.84

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Solution

The fourth proportional to 159,499.48, 220,108.20 and 87,877.84 is: 121,270.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,499.48 : 220,108.20 = 87,877.84 : x
  2. Step 2: Convert to fraction form
    159,499.48/220,108.20 = 87,877.84/x
  3. Step 3: Cross multiply
    159,499.48x = 220,108.20 × 87,877.84
  4. Step 4: Simplify right side
    159,499.48x = 19,342,633,182.29
  5. Step 5: Solve for x
    x = 19,342,633,182.29/159,499.48
  6. Step 6: Final answer
    x = 121,270.82

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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.