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Finding the Fourth Proportional to 209,136.67, 288,610.19 and 113,643.88

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Solution

The fourth proportional to 209,136.67, 288,610.19 and 113,643.88 is: 156,829.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,136.67 : 288,610.19 = 113,643.88 : x
  2. Step 2: Convert to fraction form
    209,136.67/288,610.19 = 113,643.88/x
  3. Step 3: Cross multiply
    209,136.67x = 288,610.19 × 113,643.88
  4. Step 4: Simplify right side
    209,136.67x = 32,798,781,799.14
  5. Step 5: Solve for x
    x = 32,798,781,799.14/209,136.67
  6. Step 6: Final answer
    x = 156,829.42

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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.