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Finding the Fourth Proportional to 117,538.80, 176,308.20 and 99,824.10

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Solution

The fourth proportional to 117,538.80, 176,308.20 and 99,824.10 is: 149,736.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,538.80 : 176,308.20 = 99,824.10 : x
  2. Step 2: Convert to fraction form
    117,538.80/176,308.20 = 99,824.10/x
  3. Step 3: Cross multiply
    117,538.80x = 176,308.20 × 99,824.10
  4. Step 4: Simplify right side
    117,538.80x = 17,599,807,387.62
  5. Step 5: Solve for x
    x = 17,599,807,387.62/117,538.80
  6. Step 6: Final answer
    x = 149,736.15

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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.