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Finding the Fourth Proportional to 70,382.60, 97,129.56 and 40,167.32

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Solution

The fourth proportional to 70,382.60, 97,129.56 and 40,167.32 is: 55,431.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,382.60 : 97,129.56 = 40,167.32 : x
  2. Step 2: Convert to fraction form
    70,382.60/97,129.56 = 40,167.32/x
  3. Step 3: Cross multiply
    70,382.60x = 97,129.56 × 40,167.32
  4. Step 4: Simplify right side
    70,382.60x = 3,901,433,632.33
  5. Step 5: Solve for x
    x = 3,901,433,632.33/70,382.60
  6. Step 6: Final answer
    x = 55,431.80

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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.