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Finding the Fourth Proportional to 342,169, 513,282.18 and 126,086.56

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Solution

The fourth proportional to 342,169, 513,282.18 and 126,086.56 is: 189,140.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,169 : 513,282.18 = 126,086.56 : x
  2. Step 2: Convert to fraction form
    342,169/513,282.18 = 126,086.56/x
  3. Step 3: Cross multiply
    342,169x = 513,282.18 × 126,086.56
  4. Step 4: Simplify right side
    342,169x = 64,717,984,385.50
  5. Step 5: Solve for x
    x = 64,717,984,385.50/342,169
  6. Step 6: Final answer
    x = 189,140.41

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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.