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Finding the Fourth Proportional to 47,856.80, 71,752.80 and 25,371.20

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Solution

The fourth proportional to 47,856.80, 71,752.80 and 25,371.20 is: 38,039.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,856.80 : 71,752.80 = 25,371.20 : x
  2. Step 2: Convert to fraction form
    47,856.80/71,752.80 = 25,371.20/x
  3. Step 3: Cross multiply
    47,856.80x = 71,752.80 × 25,371.20
  4. Step 4: Simplify right side
    47,856.80x = 1,820,454,639.36
  5. Step 5: Solve for x
    x = 1,820,454,639.36/47,856.80
  6. Step 6: Final answer
    x = 38,039.62

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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.