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Finding the Fourth Proportional to 243,197.64, 335,610.54 and 135,760.86

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Solution

The fourth proportional to 243,197.64, 335,610.54 and 135,760.86 is: 187,348.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,197.64 : 335,610.54 = 135,760.86 : x
  2. Step 2: Convert to fraction form
    243,197.64/335,610.54 = 135,760.86/x
  3. Step 3: Cross multiply
    243,197.64x = 335,610.54 × 135,760.86
  4. Step 4: Simplify right side
    243,197.64x = 45,562,775,535.46
  5. Step 5: Solve for x
    x = 45,562,775,535.46/243,197.64
  6. Step 6: Final answer
    x = 187,348.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.