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Finding the Fourth Proportional to 81,658.77, 122,440.47 and 31,680.47

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Solution

The fourth proportional to 81,658.77, 122,440.47 and 31,680.47 is: 47,502.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,658.77 : 122,440.47 = 31,680.47 : x
  2. Step 2: Convert to fraction form
    81,658.77/122,440.47 = 31,680.47/x
  3. Step 3: Cross multiply
    81,658.77x = 122,440.47 × 31,680.47
  4. Step 4: Simplify right side
    81,658.77x = 3,878,970,866.02
  5. Step 5: Solve for x
    x = 3,878,970,866.02/81,658.77
  6. Step 6: Final answer
    x = 47,502.20

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1.5x scale

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.