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Finding the Fourth Proportional to 165,208.80, 247,839.12 and 98,724

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Solution

The fourth proportional to 165,208.80, 247,839.12 and 98,724 is: 148,101.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,208.80 : 247,839.12 = 98,724 : x
  2. Step 2: Convert to fraction form
    165,208.80/247,839.12 = 98,724/x
  3. Step 3: Cross multiply
    165,208.80x = 247,839.12 × 98,724
  4. Step 4: Simplify right side
    165,208.80x = 24,467,669,282.88
  5. Step 5: Solve for x
    x = 24,467,669,282.88/165,208.80
  6. Step 6: Final answer
    x = 148,101.49

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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.