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Finding the Fourth Proportional to 121,582.80, 167,803.72 and 71,281.80

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Solution

The fourth proportional to 121,582.80, 167,803.72 and 71,281.80 is: 98,380.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,582.80 : 167,803.72 = 71,281.80 : x
  2. Step 2: Convert to fraction form
    121,582.80/167,803.72 = 71,281.80/x
  3. Step 3: Cross multiply
    121,582.80x = 167,803.72 × 71,281.80
  4. Step 4: Simplify right side
    121,582.80x = 11,961,351,208.30
  5. Step 5: Solve for x
    x = 11,961,351,208.30/121,582.80
  6. Step 6: Final answer
    x = 98,380.29

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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.