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Finding the Fourth Proportional to 160,021.62, 220,821.12 and 99,590.76

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Solution

The fourth proportional to 160,021.62, 220,821.12 and 99,590.76 is: 137,429.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,021.62 : 220,821.12 = 99,590.76 : x
  2. Step 2: Convert to fraction form
    160,021.62/220,821.12 = 99,590.76/x
  3. Step 3: Cross multiply
    160,021.62x = 220,821.12 × 99,590.76
  4. Step 4: Simplify right side
    160,021.62x = 21,991,743,164.85
  5. Step 5: Solve for x
    x = 21,991,743,164.85/160,021.62
  6. Step 6: Final answer
    x = 137,429.82

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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.