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Finding the Fourth Proportional to 121,989.80, 182,984.70 and 99,828.20

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Solution

The fourth proportional to 121,989.80, 182,984.70 and 99,828.20 is: 149,742.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,989.80 : 182,984.70 = 99,828.20 : x
  2. Step 2: Convert to fraction form
    121,989.80/182,984.70 = 99,828.20/x
  3. Step 3: Cross multiply
    121,989.80x = 182,984.70 × 99,828.20
  4. Step 4: Simplify right side
    121,989.80x = 18,267,033,228.54
  5. Step 5: Solve for x
    x = 18,267,033,228.54/121,989.80
  6. Step 6: Final answer
    x = 149,742.30

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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.