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Finding the Fourth Proportional to 151,255.38, 226,742.84 and 66,970.66

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Solution

The fourth proportional to 151,255.38, 226,742.84 and 66,970.66 is: 100,393.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,255.38 : 226,742.84 = 66,970.66 : x
  2. Step 2: Convert to fraction form
    151,255.38/226,742.84 = 66,970.66/x
  3. Step 3: Cross multiply
    151,255.38x = 226,742.84 × 66,970.66
  4. Step 4: Simplify right side
    151,255.38x = 15,185,117,645.07
  5. Step 5: Solve for x
    x = 15,185,117,645.07/151,255.38
  6. Step 6: Final answer
    x = 100,393.90

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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.