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Finding the Fourth Proportional to 243,198.52, 364,834.32 and 85,399.18

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Solution

The fourth proportional to 243,198.52, 364,834.32 and 85,399.18 is: 128,111.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,198.52 : 364,834.32 = 85,399.18 : x
  2. Step 2: Convert to fraction form
    243,198.52/364,834.32 = 85,399.18/x
  3. Step 3: Cross multiply
    243,198.52x = 364,834.32 × 85,399.18
  4. Step 4: Simplify right side
    243,198.52x = 31,156,551,763.86
  5. Step 5: Solve for x
    x = 31,156,551,763.86/243,198.52
  6. Step 6: Final answer
    x = 128,111.60

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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.