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Finding the Fourth Proportional to 84,174.80, 126,031.80 and 65,742.80

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Solution

The fourth proportional to 84,174.80, 126,031.80 and 65,742.80 is: 98,434.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,174.80 : 126,031.80 = 65,742.80 : x
  2. Step 2: Convert to fraction form
    84,174.80/126,031.80 = 65,742.80/x
  3. Step 3: Cross multiply
    84,174.80x = 126,031.80 × 65,742.80
  4. Step 4: Simplify right side
    84,174.80x = 8,285,683,421.04
  5. Step 5: Solve for x
    x = 8,285,683,421.04/84,174.80
  6. Step 6: Final answer
    x = 98,434.25

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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.