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Finding the Fourth Proportional to 121,513, 167,694.42 and 71,228.20

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Solution

The fourth proportional to 121,513, 167,694.42 and 71,228.20 is: 98,298.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,513 : 167,694.42 = 71,228.20 : x
  2. Step 2: Convert to fraction form
    121,513/167,694.42 = 71,228.20/x
  3. Step 3: Cross multiply
    121,513x = 167,694.42 × 71,228.20
  4. Step 4: Simplify right side
    121,513x = 11,944,571,686.64
  5. Step 5: Solve for x
    x = 11,944,571,686.64/121,513
  6. Step 6: Final answer
    x = 98,298.71

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1.5x scale

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.