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Finding the Fourth Proportional to 342,213.98, 513,149.65 and 105,525.90

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Solution

The fourth proportional to 342,213.98, 513,149.65 and 105,525.90 is: 158,236.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,213.98 : 513,149.65 = 105,525.90 : x
  2. Step 2: Convert to fraction form
    342,213.98/513,149.65 = 105,525.90/x
  3. Step 3: Cross multiply
    342,213.98x = 513,149.65 × 105,525.90
  4. Step 4: Simplify right side
    342,213.98x = 54,150,578,387.12
  5. Step 5: Solve for x
    x = 54,150,578,387.12/342,213.98
  6. Step 6: Final answer
    x = 158,236.02

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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.