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Finding the Fourth Proportional to 199,776.24, 299,663.28 and 81,447.12

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Solution

The fourth proportional to 199,776.24, 299,663.28 and 81,447.12 is: 122,170.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,776.24 : 299,663.28 = 81,447.12 : x
  2. Step 2: Convert to fraction form
    199,776.24/299,663.28 = 81,447.12/x
  3. Step 3: Cross multiply
    199,776.24x = 299,663.28 × 81,447.12
  4. Step 4: Simplify right side
    199,776.24x = 24,406,711,125.75
  5. Step 5: Solve for x
    x = 24,406,711,125.75/199,776.24
  6. Step 6: Final answer
    x = 122,170.24

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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.