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Finding the Fourth Proportional to 342,209.98, 513,143.64 and 105,521.90

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Solution

The fourth proportional to 342,209.98, 513,143.64 and 105,521.90 is: 158,230.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,209.98 : 513,143.64 = 105,521.90 : x
  2. Step 2: Convert to fraction form
    342,209.98/513,143.64 = 105,521.90/x
  3. Step 3: Cross multiply
    342,209.98x = 513,143.64 × 105,521.90
  4. Step 4: Simplify right side
    342,209.98x = 54,147,891,865.72
  5. Step 5: Solve for x
    x = 54,147,891,865.72/342,209.98
  6. Step 6: Final answer
    x = 158,230.02

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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.