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Finding the Fourth Proportional to 80,285.34, 120,502.73 and 40,871.96

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Solution

The fourth proportional to 80,285.34, 120,502.73 and 40,871.96 is: 61,345.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,285.34 : 120,502.73 = 40,871.96 : x
  2. Step 2: Convert to fraction form
    80,285.34/120,502.73 = 40,871.96/x
  3. Step 3: Cross multiply
    80,285.34x = 120,502.73 × 40,871.96
  4. Step 4: Simplify right side
    80,285.34x = 4,925,182,760.45
  5. Step 5: Solve for x
    x = 4,925,182,760.45/80,285.34
  6. Step 6: Final answer
    x = 61,345.98

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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.