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Finding the Fourth Proportional to 84,043.68, 126,065.52 and 48,983.20

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Solution

The fourth proportional to 84,043.68, 126,065.52 and 48,983.20 is: 73,474.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,043.68 : 126,065.52 = 48,983.20 : x
  2. Step 2: Convert to fraction form
    84,043.68/126,065.52 = 48,983.20/x
  3. Step 3: Cross multiply
    84,043.68x = 126,065.52 × 48,983.20
  4. Step 4: Simplify right side
    84,043.68x = 6,175,092,579.26
  5. Step 5: Solve for x
    x = 6,175,092,579.26/84,043.68
  6. Step 6: Final answer
    x = 73,474.80

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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.