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Finding the Fourth Proportional to 342,523.59, 513,834.59 and 105,884.72

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Solution

The fourth proportional to 342,523.59, 513,834.59 and 105,884.72 is: 158,842.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,523.59 : 513,834.59 = 105,884.72 : x
  2. Step 2: Convert to fraction form
    342,523.59/513,834.59 = 105,884.72/x
  3. Step 3: Cross multiply
    342,523.59x = 513,834.59 × 105,884.72
  4. Step 4: Simplify right side
    342,523.59x = 54,407,230,715.28
  5. Step 5: Solve for x
    x = 54,407,230,715.28/342,523.59
  6. Step 6: Final answer
    x = 158,842.29

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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.