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Finding the Fourth Proportional to 235,424.10, 353,178.45 and 85,874.19

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Solution

The fourth proportional to 235,424.10, 353,178.45 and 85,874.19 is: 128,826.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,424.10 : 353,178.45 = 85,874.19 : x
  2. Step 2: Convert to fraction form
    235,424.10/353,178.45 = 85,874.19/x
  3. Step 3: Cross multiply
    235,424.10x = 353,178.45 × 85,874.19
  4. Step 4: Simplify right side
    235,424.10x = 30,328,913,319.21
  5. Step 5: Solve for x
    x = 30,328,913,319.21/235,424.10
  6. Step 6: Final answer
    x = 128,826.71

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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.