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Finding the Fourth Proportional to 161,728.80, 242,560.80 and 77,488.80

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Solution

The fourth proportional to 161,728.80, 242,560.80 and 77,488.80 is: 116,217.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,728.80 : 242,560.80 = 77,488.80 : x
  2. Step 2: Convert to fraction form
    161,728.80/242,560.80 = 77,488.80/x
  3. Step 3: Cross multiply
    161,728.80x = 242,560.80 × 77,488.80
  4. Step 4: Simplify right side
    161,728.80x = 18,795,745,319.04
  5. Step 5: Solve for x
    x = 18,795,745,319.04/161,728.80
  6. Step 6: Final answer
    x = 116,217.68

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1.5x scale

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.