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Finding the Fourth Proportional to 342,120.12, 513,241.83 and 117,422.52

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Solution

The fourth proportional to 342,120.12, 513,241.83 and 117,422.52 is: 176,154.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,120.12 : 513,241.83 = 117,422.52 : x
  2. Step 2: Convert to fraction form
    342,120.12/513,241.83 = 117,422.52/x
  3. Step 3: Cross multiply
    342,120.12x = 513,241.83 × 117,422.52
  4. Step 4: Simplify right side
    342,120.12x = 60,266,149,048.01
  5. Step 5: Solve for x
    x = 60,266,149,048.01/342,120.12
  6. Step 6: Final answer
    x = 176,154.94

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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.