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Finding the Fourth Proportional to 144,713.12, 199,711.22 and 87,351.53

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Solution

The fourth proportional to 144,713.12, 199,711.22 and 87,351.53 is: 120,549.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,713.12 : 199,711.22 = 87,351.53 : x
  2. Step 2: Convert to fraction form
    144,713.12/199,711.22 = 87,351.53/x
  3. Step 3: Cross multiply
    144,713.12x = 199,711.22 × 87,351.53
  4. Step 4: Simplify right side
    144,713.12x = 17,445,079,189.85
  5. Step 5: Solve for x
    x = 17,445,079,189.85/144,713.12
  6. Step 6: Final answer
    x = 120,549.40

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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.