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Finding the Fourth Proportional to 140,741.88, 194,221.80 and 77,079.66

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Solution

The fourth proportional to 140,741.88, 194,221.80 and 77,079.66 is: 106,368.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,741.88 : 194,221.80 = 77,079.66 : x
  2. Step 2: Convert to fraction form
    140,741.88/194,221.80 = 77,079.66/x
  3. Step 3: Cross multiply
    140,741.88x = 194,221.80 × 77,079.66
  4. Step 4: Simplify right side
    140,741.88x = 14,970,550,308.59
  5. Step 5: Solve for x
    x = 14,970,550,308.59/140,741.88
  6. Step 6: Final answer
    x = 106,368.84

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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.