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Finding the Fourth Proportional to 342,613.85, 513,986.40 and 105,914.84

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Solution

The fourth proportional to 342,613.85, 513,986.40 and 105,914.84 is: 158,892.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,613.85 : 513,986.40 = 105,914.84 : x
  2. Step 2: Convert to fraction form
    342,613.85/513,986.40 = 105,914.84/x
  3. Step 3: Cross multiply
    342,613.85x = 513,986.40 × 105,914.84
  4. Step 4: Simplify right side
    342,613.85x = 54,438,784,748.24
  5. Step 5: Solve for x
    x = 54,438,784,748.24/342,613.85
  6. Step 6: Final answer
    x = 158,892.54

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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.