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Finding the Fourth Proportional to 81,720.28, 112,797.30 and 47,737

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Solution

The fourth proportional to 81,720.28, 112,797.30 and 47,737 is: 65,890.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,720.28 : 112,797.30 = 47,737 : x
  2. Step 2: Convert to fraction form
    81,720.28/112,797.30 = 47,737/x
  3. Step 3: Cross multiply
    81,720.28x = 112,797.30 × 47,737
  4. Step 4: Simplify right side
    81,720.28x = 5,384,604,710.10
  5. Step 5: Solve for x
    x = 5,384,604,710.10/81,720.28
  6. Step 6: Final answer
    x = 65,890.68

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1.5x scale

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.