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Finding the Fourth Proportional to 342,073.53, 513,208.71 and 105,449.85

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Solution

The fourth proportional to 342,073.53, 513,208.71 and 105,449.85 is: 158,205.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,073.53 : 513,208.71 = 105,449.85 : x
  2. Step 2: Convert to fraction form
    342,073.53/513,208.71 = 105,449.85/x
  3. Step 3: Cross multiply
    342,073.53x = 513,208.71 × 105,449.85
  4. Step 4: Simplify right side
    342,073.53x = 54,117,781,488.19
  5. Step 5: Solve for x
    x = 54,117,781,488.19/342,073.53
  6. Step 6: Final answer
    x = 158,205.11

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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.