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Finding the Fourth Proportional to 159,454.34, 220,057.02 and 87,834.32

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Solution

The fourth proportional to 159,454.34, 220,057.02 and 87,834.32 is: 121,216.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,454.34 : 220,057.02 = 87,834.32 : x
  2. Step 2: Convert to fraction form
    159,454.34/220,057.02 = 87,834.32/x
  3. Step 3: Cross multiply
    159,454.34x = 220,057.02 × 87,834.32
  4. Step 4: Simplify right side
    159,454.34x = 19,328,558,712.93
  5. Step 5: Solve for x
    x = 19,328,558,712.93/159,454.34
  6. Step 6: Final answer
    x = 121,216.89

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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.