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Finding the Fourth Proportional to 121,873.50, 168,204.87 and 71,562.78

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Solution

The fourth proportional to 121,873.50, 168,204.87 and 71,562.78 is: 98,768.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,873.50 : 168,204.87 = 71,562.78 : x
  2. Step 2: Convert to fraction form
    121,873.50/168,204.87 = 71,562.78/x
  3. Step 3: Cross multiply
    121,873.50x = 168,204.87 × 71,562.78
  4. Step 4: Simplify right side
    121,873.50x = 12,037,208,106.74
  5. Step 5: Solve for x
    x = 12,037,208,106.74/121,873.50
  6. Step 6: Final answer
    x = 98,768.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.