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Finding the Fourth Proportional to 159,451, 220,042.38 and 87,830.80

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Solution

The fourth proportional to 159,451, 220,042.38 and 87,830.80 is: 121,206.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,451 : 220,042.38 = 87,830.80 : x
  2. Step 2: Convert to fraction form
    159,451/220,042.38 = 87,830.80/x
  3. Step 3: Cross multiply
    159,451x = 220,042.38 × 87,830.80
  4. Step 4: Simplify right side
    159,451x = 19,326,498,269.30
  5. Step 5: Solve for x
    x = 19,326,498,269.30/159,451
  6. Step 6: Final answer
    x = 121,206.50

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1.5x scale

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.