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Finding the Fourth Proportional to 235,742.50, 353,755.68 and 85,995.91

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Solution

The fourth proportional to 235,742.50, 353,755.68 and 85,995.91 is: 129,045.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,742.50 : 353,755.68 = 85,995.91 : x
  2. Step 2: Convert to fraction form
    235,742.50/353,755.68 = 85,995.91/x
  3. Step 3: Cross multiply
    235,742.50x = 353,755.68 × 85,995.91
  4. Step 4: Simplify right side
    235,742.50x = 30,421,541,619.27
  5. Step 5: Solve for x
    x = 30,421,541,619.27/235,742.50
  6. Step 6: Final answer
    x = 129,045.64

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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.