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Finding the Fourth Proportional to 142,722.60, 213,879.10 and 104,988.20

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Solution

The fourth proportional to 142,722.60, 213,879.10 and 104,988.20 is: 157,331.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,722.60 : 213,879.10 = 104,988.20 : x
  2. Step 2: Convert to fraction form
    142,722.60/213,879.10 = 104,988.20/x
  3. Step 3: Cross multiply
    142,722.60x = 213,879.10 × 104,988.20
  4. Step 4: Simplify right side
    142,722.60x = 22,454,781,726.62
  5. Step 5: Solve for x
    x = 22,454,781,726.62/142,722.60
  6. Step 6: Final answer
    x = 157,331.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.