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Finding the Fourth Proportional to 85,812.30, 128,754.90 and 41,416.20

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Solution

The fourth proportional to 85,812.30, 128,754.90 and 41,416.20 is: 62,141.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,812.30 : 128,754.90 = 41,416.20 : x
  2. Step 2: Convert to fraction form
    85,812.30/128,754.90 = 41,416.20/x
  3. Step 3: Cross multiply
    85,812.30x = 128,754.90 × 41,416.20
  4. Step 4: Simplify right side
    85,812.30x = 5,332,538,689.38
  5. Step 5: Solve for x
    x = 5,332,538,689.38/85,812.30
  6. Step 6: Final answer
    x = 62,141.89

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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.