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Finding the Fourth Proportional to 209,129.93, 288,601.07 and 113,636.64

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Solution

The fourth proportional to 209,129.93, 288,601.07 and 113,636.64 is: 156,819.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,129.93 : 288,601.07 = 113,636.64 : x
  2. Step 2: Convert to fraction form
    209,129.93/288,601.07 = 113,636.64/x
  3. Step 3: Cross multiply
    209,129.93x = 288,601.07 × 113,636.64
  4. Step 4: Simplify right side
    209,129.93x = 32,795,655,327.02
  5. Step 5: Solve for x
    x = 32,795,655,327.02/209,129.93
  6. Step 6: Final answer
    x = 156,819.52

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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.