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Finding the Fourth Proportional to 108,542.70, 162,814.05 and 77,049.90

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Solution

The fourth proportional to 108,542.70, 162,814.05 and 77,049.90 is: 115,574.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,542.70 : 162,814.05 = 77,049.90 : x
  2. Step 2: Convert to fraction form
    108,542.70/162,814.05 = 77,049.90/x
  3. Step 3: Cross multiply
    108,542.70x = 162,814.05 × 77,049.90
  4. Step 4: Simplify right side
    108,542.70x = 12,544,806,271.10
  5. Step 5: Solve for x
    x = 12,544,806,271.10/108,542.70
  6. Step 6: Final answer
    x = 115,574.85

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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.