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Finding the Fourth Proportional to 156,464.54, 215,864.47 and 102,778.78

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Solution

The fourth proportional to 156,464.54, 215,864.47 and 102,778.78 is: 141,797.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,464.54 : 215,864.47 = 102,778.78 : x
  2. Step 2: Convert to fraction form
    156,464.54/215,864.47 = 102,778.78/x
  3. Step 3: Cross multiply
    156,464.54x = 215,864.47 × 102,778.78
  4. Step 4: Simplify right side
    156,464.54x = 22,186,286,871.95
  5. Step 5: Solve for x
    x = 22,186,286,871.95/156,464.54
  6. Step 6: Final answer
    x = 141,797.54

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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.