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Finding the Fourth Proportional to 126,042, 173,940.12 and 81,407.76

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Solution

The fourth proportional to 126,042, 173,940.12 and 81,407.76 is: 112,344.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,042 : 173,940.12 = 81,407.76 : x
  2. Step 2: Convert to fraction form
    126,042/173,940.12 = 81,407.76/x
  3. Step 3: Cross multiply
    126,042x = 173,940.12 × 81,407.76
  4. Step 4: Simplify right side
    126,042x = 14,160,075,543.33
  5. Step 5: Solve for x
    x = 14,160,075,543.33/126,042
  6. Step 6: Final answer
    x = 112,344.10

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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.