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Finding the Fourth Proportional to 121,383.70, 181,978.35 and 51,205.30

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Solution

The fourth proportional to 121,383.70, 181,978.35 and 51,205.30 is: 76,766.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,383.70 : 181,978.35 = 51,205.30 : x
  2. Step 2: Convert to fraction form
    121,383.70/181,978.35 = 51,205.30/x
  3. Step 3: Cross multiply
    121,383.70x = 181,978.35 × 51,205.30
  4. Step 4: Simplify right side
    121,383.70x = 9,318,256,005.26
  5. Step 5: Solve for x
    x = 9,318,256,005.26/121,383.70
  6. Step 6: Final answer
    x = 76,766.95

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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.