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Finding the Fourth Proportional to 151,351.68, 208,863.40 and 83,367.28

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Solution

The fourth proportional to 151,351.68, 208,863.40 and 83,367.28 is: 115,045.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,351.68 : 208,863.40 = 83,367.28 : x
  2. Step 2: Convert to fraction form
    151,351.68/208,863.40 = 83,367.28/x
  3. Step 3: Cross multiply
    151,351.68x = 208,863.40 × 83,367.28
  4. Step 4: Simplify right side
    151,351.68x = 17,412,373,549.55
  5. Step 5: Solve for x
    x = 17,412,373,549.55/151,351.68
  6. Step 6: Final answer
    x = 115,045.79

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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.