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Finding the Fourth Proportional to 133,077.88, 199,648.29 and 43,120.45

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Solution

The fourth proportional to 133,077.88, 199,648.29 and 43,120.45 is: 64,690.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,077.88 : 199,648.29 = 43,120.45 : x
  2. Step 2: Convert to fraction form
    133,077.88/199,648.29 = 43,120.45/x
  3. Step 3: Cross multiply
    133,077.88x = 199,648.29 × 43,120.45
  4. Step 4: Simplify right side
    133,077.88x = 8,608,924,106.53
  5. Step 5: Solve for x
    x = 8,608,924,106.53/133,077.88
  6. Step 6: Final answer
    x = 64,690.87

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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.