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Finding the Fourth Proportional to 342,423.80, 513,674.10 and 105,764.60

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Solution

The fourth proportional to 342,423.80, 513,674.10 and 105,764.60 is: 158,658.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,423.80 : 513,674.10 = 105,764.60 : x
  2. Step 2: Convert to fraction form
    342,423.80/513,674.10 = 105,764.60/x
  3. Step 3: Cross multiply
    342,423.80x = 513,674.10 × 105,764.60
  4. Step 4: Simplify right side
    342,423.80x = 54,328,535,716.86
  5. Step 5: Solve for x
    x = 54,328,535,716.86/342,423.80
  6. Step 6: Final answer
    x = 158,658.76

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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.