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Finding the Fourth Proportional to 126,407.16, 174,427.02 and 69,815.16

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Solution

The fourth proportional to 126,407.16, 174,427.02 and 69,815.16 is: 96,336.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,407.16 : 174,427.02 = 69,815.16 : x
  2. Step 2: Convert to fraction form
    126,407.16/174,427.02 = 69,815.16/x
  3. Step 3: Cross multiply
    126,407.16x = 174,427.02 × 69,815.16
  4. Step 4: Simplify right side
    126,407.16x = 12,177,650,309.62
  5. Step 5: Solve for x
    x = 12,177,650,309.62/126,407.16
  6. Step 6: Final answer
    x = 96,336.71

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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.