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Finding the Fourth Proportional to 70,382.60, 97,103.88 and 40,146.08

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Solution

The fourth proportional to 70,382.60, 97,103.88 and 40,146.08 is: 55,387.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,382.60 : 97,103.88 = 40,146.08 : x
  2. Step 2: Convert to fraction form
    70,382.60/97,103.88 = 40,146.08/x
  3. Step 3: Cross multiply
    70,382.60x = 97,103.88 × 40,146.08
  4. Step 4: Simplify right side
    70,382.60x = 3,898,340,134.79
  5. Step 5: Solve for x
    x = 3,898,340,134.79/70,382.60
  6. Step 6: Final answer
    x = 55,387.84

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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.