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Finding the Fourth Proportional to 81,502.80, 122,254.20 and 39,415.20

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Solution

The fourth proportional to 81,502.80, 122,254.20 and 39,415.20 is: 59,122.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,502.80 : 122,254.20 = 39,415.20 : x
  2. Step 2: Convert to fraction form
    81,502.80/122,254.20 = 39,415.20/x
  3. Step 3: Cross multiply
    81,502.80x = 122,254.20 × 39,415.20
  4. Step 4: Simplify right side
    81,502.80x = 4,818,673,743.84
  5. Step 5: Solve for x
    x = 4,818,673,743.84/81,502.80
  6. Step 6: Final answer
    x = 59,122.80

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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.