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Finding the Fourth Proportional to 121,985.80, 182,978.70 and 99,824.20

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Solution

The fourth proportional to 121,985.80, 182,978.70 and 99,824.20 is: 149,736.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,985.80 : 182,978.70 = 99,824.20 : x
  2. Step 2: Convert to fraction form
    121,985.80/182,978.70 = 99,824.20/x
  3. Step 3: Cross multiply
    121,985.80x = 182,978.70 × 99,824.20
  4. Step 4: Simplify right side
    121,985.80x = 18,265,702,344.54
  5. Step 5: Solve for x
    x = 18,265,702,344.54/121,985.80
  6. Step 6: Final answer
    x = 149,736.30

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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.