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Finding the Fourth Proportional to 47,959.92, 71,939.88 and 20,258.16

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Solution

The fourth proportional to 47,959.92, 71,939.88 and 20,258.16 is: 30,387.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,959.92 : 71,939.88 = 20,258.16 : x
  2. Step 2: Convert to fraction form
    47,959.92/71,939.88 = 20,258.16/x
  3. Step 3: Cross multiply
    47,959.92x = 71,939.88 × 20,258.16
  4. Step 4: Simplify right side
    47,959.92x = 1,457,369,599.42
  5. Step 5: Solve for x
    x = 1,457,369,599.42/47,959.92
  6. Step 6: Final answer
    x = 30,387.24

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1.5x scale

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.