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Finding the Fourth Proportional to 126,544, 174,633.76 and 81,909.76

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Solution

The fourth proportional to 126,544, 174,633.76 and 81,909.76 is: 113,037.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,544 : 174,633.76 = 81,909.76 : x
  2. Step 2: Convert to fraction form
    126,544/174,633.76 = 81,909.76/x
  3. Step 3: Cross multiply
    126,544x = 174,633.76 × 81,909.76
  4. Step 4: Simplify right side
    126,544x = 14,304,209,369.50
  5. Step 5: Solve for x
    x = 14,304,209,369.50/126,544
  6. Step 6: Final answer
    x = 113,037.44

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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.