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Finding the Fourth Proportional to 48,478.40, 66,899.04 and 31,711.04

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Solution

The fourth proportional to 48,478.40, 66,899.04 and 31,711.04 is: 43,760.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,478.40 : 66,899.04 = 31,711.04 : x
  2. Step 2: Convert to fraction form
    48,478.40/66,899.04 = 31,711.04/x
  3. Step 3: Cross multiply
    48,478.40x = 66,899.04 × 31,711.04
  4. Step 4: Simplify right side
    48,478.40x = 2,121,438,133.40
  5. Step 5: Solve for x
    x = 2,121,438,133.40/48,478.40
  6. Step 6: Final answer
    x = 43,760.48

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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.