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Finding the Fourth Proportional to 85,146.56, 127,719.77 and 40,157.42

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Solution

The fourth proportional to 85,146.56, 127,719.77 and 40,157.42 is: 60,236.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,146.56 : 127,719.77 = 40,157.42 : x
  2. Step 2: Convert to fraction form
    85,146.56/127,719.77 = 40,157.42/x
  3. Step 3: Cross multiply
    85,146.56x = 127,719.77 × 40,157.42
  4. Step 4: Simplify right side
    85,146.56x = 5,128,896,564.71
  5. Step 5: Solve for x
    x = 5,128,896,564.71/85,146.56
  6. Step 6: Final answer
    x = 60,236.10

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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.