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Finding the Fourth Proportional to 126,170, 174,117.12 and 81,535.76

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Solution

The fourth proportional to 126,170, 174,117.12 and 81,535.76 is: 112,520.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,170 : 174,117.12 = 81,535.76 : x
  2. Step 2: Convert to fraction form
    126,170/174,117.12 = 81,535.76/x
  3. Step 3: Cross multiply
    126,170x = 174,117.12 × 81,535.76
  4. Step 4: Simplify right side
    126,170x = 14,196,771,708.21
  5. Step 5: Solve for x
    x = 14,196,771,708.21/126,170
  6. Step 6: Final answer
    x = 112,520.98

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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.