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Finding the Fourth Proportional to 159,149.82, 219,631.38 and 87,534.48

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Solution

The fourth proportional to 159,149.82, 219,631.38 and 87,534.48 is: 120,800.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,149.82 : 219,631.38 = 87,534.48 : x
  2. Step 2: Convert to fraction form
    159,149.82/219,631.38 = 87,534.48/x
  3. Step 3: Cross multiply
    159,149.82x = 219,631.38 × 87,534.48
  4. Step 4: Simplify right side
    159,149.82x = 19,225,318,639.98
  5. Step 5: Solve for x
    x = 19,225,318,639.98/159,149.82
  6. Step 6: Final answer
    x = 120,800.13

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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.