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Finding the Fourth Proportional to 209,154.78, 288,629.82 and 113,661.81

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Solution

The fourth proportional to 209,154.78, 288,629.82 and 113,661.81 is: 156,851.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,154.78 : 288,629.82 = 113,661.81 : x
  2. Step 2: Convert to fraction form
    209,154.78/288,629.82 = 113,661.81/x
  3. Step 3: Cross multiply
    209,154.78x = 288,629.82 × 113,661.81
  4. Step 4: Simplify right side
    209,154.78x = 32,806,187,761.17
  5. Step 5: Solve for x
    x = 32,806,187,761.17/209,154.78
  6. Step 6: Final answer
    x = 156,851.25

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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.