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Finding the Fourth Proportional to 113,215.28, 169,662 and 83,398.64

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Solution

The fourth proportional to 113,215.28, 169,662 and 83,398.64 is: 124,979.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,215.28 : 169,662 = 83,398.64 : x
  2. Step 2: Convert to fraction form
    113,215.28/169,662 = 83,398.64/x
  3. Step 3: Cross multiply
    113,215.28x = 169,662 × 83,398.64
  4. Step 4: Simplify right side
    113,215.28x = 14,149,580,059.68
  5. Step 5: Solve for x
    x = 14,149,580,059.68/113,215.28
  6. Step 6: Final answer
    x = 124,979.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.