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Finding the Fourth Proportional to 342,081.20, 513,032.52 and 102,139.04

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Solution

The fourth proportional to 342,081.20, 513,032.52 and 102,139.04 is: 153,181.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,081.20 : 513,032.52 = 102,139.04 : x
  2. Step 2: Convert to fraction form
    342,081.20/513,032.52 = 102,139.04/x
  3. Step 3: Cross multiply
    342,081.20x = 513,032.52 × 102,139.04
  4. Step 4: Simplify right side
    342,081.20x = 52,400,649,081.58
  5. Step 5: Solve for x
    x = 52,400,649,081.58/342,081.20
  6. Step 6: Final answer
    x = 153,181.90

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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.