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Finding the Fourth Proportional to 158,978.80, 219,386.28 and 87,358.78

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Solution

The fourth proportional to 158,978.80, 219,386.28 and 87,358.78 is: 120,552.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,978.80 : 219,386.28 = 87,358.78 : x
  2. Step 2: Convert to fraction form
    158,978.80/219,386.28 = 87,358.78/x
  3. Step 3: Cross multiply
    158,978.80x = 219,386.28 × 87,358.78
  4. Step 4: Simplify right side
    158,978.80x = 19,165,317,769.54
  5. Step 5: Solve for x
    x = 19,165,317,769.54/158,978.80
  6. Step 6: Final answer
    x = 120,552.66

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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.