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Finding the Fourth Proportional to 235,499.10, 353,139.30 and 102,310.80

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Solution

The fourth proportional to 235,499.10, 353,139.30 and 102,310.80 is: 153,418.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,499.10 : 353,139.30 = 102,310.80 : x
  2. Step 2: Convert to fraction form
    235,499.10/353,139.30 = 102,310.80/x
  3. Step 3: Cross multiply
    235,499.10x = 353,139.30 × 102,310.80
  4. Step 4: Simplify right side
    235,499.10x = 36,129,964,294.44
  5. Step 5: Solve for x
    x = 36,129,964,294.44/235,499.10
  6. Step 6: Final answer
    x = 153,418.69

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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.