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Finding the Fourth Proportional to 342,211.98, 513,146.64 and 105,523.90

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Solution

The fourth proportional to 342,211.98, 513,146.64 and 105,523.90 is: 158,233.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,211.98 : 513,146.64 = 105,523.90 : x
  2. Step 2: Convert to fraction form
    342,211.98/513,146.64 = 105,523.90/x
  3. Step 3: Cross multiply
    342,211.98x = 513,146.64 × 105,523.90
  4. Step 4: Simplify right side
    342,211.98x = 54,149,234,724.70
  5. Step 5: Solve for x
    x = 54,149,234,724.70/342,211.98
  6. Step 6: Final answer
    x = 158,233.02

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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.