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Finding the Fourth Proportional to 81,502.79, 122,243.81 and 31,548.71

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Solution

The fourth proportional to 81,502.79, 122,243.81 and 31,548.71 is: 47,319.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,502.79 : 122,243.81 = 31,548.71 : x
  2. Step 2: Convert to fraction form
    81,502.79/122,243.81 = 31,548.71/x
  3. Step 3: Cross multiply
    81,502.79x = 122,243.81 × 31,548.71
  4. Step 4: Simplify right side
    81,502.79x = 3,856,634,658.85
  5. Step 5: Solve for x
    x = 3,856,634,658.85/81,502.79
  6. Step 6: Final answer
    x = 47,319.05

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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.