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Finding the Fourth Proportional to 70,382.28, 97,129.13 and 40,167

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Solution

The fourth proportional to 70,382.28, 97,129.13 and 40,167 is: 55,431.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,382.28 : 97,129.13 = 40,167 : x
  2. Step 2: Convert to fraction form
    70,382.28/97,129.13 = 40,167/x
  3. Step 3: Cross multiply
    70,382.28x = 97,129.13 × 40,167
  4. Step 4: Simplify right side
    70,382.28x = 3,901,385,764.71
  5. Step 5: Solve for x
    x = 3,901,385,764.71/70,382.28
  6. Step 6: Final answer
    x = 55,431.36

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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.