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Finding the Fourth Proportional to 158,876.52, 219,251.10 and 87,258

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Solution

The fourth proportional to 158,876.52, 219,251.10 and 87,258 is: 120,416.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,876.52 : 219,251.10 = 87,258 : x
  2. Step 2: Convert to fraction form
    158,876.52/219,251.10 = 87,258/x
  3. Step 3: Cross multiply
    158,876.52x = 219,251.10 × 87,258
  4. Step 4: Simplify right side
    158,876.52x = 19,131,412,483.80
  5. Step 5: Solve for x
    x = 19,131,412,483.80/158,876.52
  6. Step 6: Final answer
    x = 120,416.87

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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.