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Finding the Fourth Proportional to 169,142.75, 233,417 and 102,074.75

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Solution

The fourth proportional to 169,142.75, 233,417 and 102,074.75 is: 140,863.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,142.75 : 233,417 = 102,074.75 : x
  2. Step 2: Convert to fraction form
    169,142.75/233,417 = 102,074.75/x
  3. Step 3: Cross multiply
    169,142.75x = 233,417 × 102,074.75
  4. Step 4: Simplify right side
    169,142.75x = 23,825,981,920.75
  5. Step 5: Solve for x
    x = 23,825,981,920.75/169,142.75
  6. Step 6: Final answer
    x = 140,863.16

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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.