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Finding the Fourth Proportional to 209,407.19, 288,981.69 and 113,913.65

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Solution

The fourth proportional to 209,407.19, 288,981.69 and 113,913.65 is: 157,200.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,407.19 : 288,981.69 = 113,913.65 : x
  2. Step 2: Convert to fraction form
    209,407.19/288,981.69 = 113,913.65/x
  3. Step 3: Cross multiply
    209,407.19x = 288,981.69 × 113,913.65
  4. Step 4: Simplify right side
    209,407.19x = 32,918,957,646.16
  5. Step 5: Solve for x
    x = 32,918,957,646.16/209,407.19
  6. Step 6: Final answer
    x = 157,200.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.