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Finding the Fourth Proportional to 159,038.56, 219,473.28 and 87,418

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Solution

The fourth proportional to 159,038.56, 219,473.28 and 87,418 is: 120,636.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,038.56 : 219,473.28 = 87,418 : x
  2. Step 2: Convert to fraction form
    159,038.56/219,473.28 = 87,418/x
  3. Step 3: Cross multiply
    159,038.56x = 219,473.28 × 87,418
  4. Step 4: Simplify right side
    159,038.56x = 19,185,915,191.04
  5. Step 5: Solve for x
    x = 19,185,915,191.04/159,038.56
  6. Step 6: Final answer
    x = 120,636.88

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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.