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Finding the Fourth Proportional to 123,398.71, 184,962.21 and 80,686.52

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Solution

The fourth proportional to 123,398.71, 184,962.21 and 80,686.52 is: 120,940.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,398.71 : 184,962.21 = 80,686.52 : x
  2. Step 2: Convert to fraction form
    123,398.71/184,962.21 = 80,686.52/x
  3. Step 3: Cross multiply
    123,398.71x = 184,962.21 × 80,686.52
  4. Step 4: Simplify right side
    123,398.71x = 14,923,957,056.41
  5. Step 5: Solve for x
    x = 14,923,957,056.41/123,398.71
  6. Step 6: Final answer
    x = 120,940.95

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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.