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Finding the Fourth Proportional to 209,370.64, 288,929.32 and 113,877.31

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Solution

The fourth proportional to 209,370.64, 288,929.32 and 113,877.31 is: 157,149.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,370.64 : 288,929.32 = 113,877.31 : x
  2. Step 2: Convert to fraction form
    209,370.64/288,929.32 = 113,877.31/x
  3. Step 3: Cross multiply
    209,370.64x = 288,929.32 × 113,877.31
  4. Step 4: Simplify right side
    209,370.64x = 32,902,493,741.73
  5. Step 5: Solve for x
    x = 32,902,493,741.73/209,370.64
  6. Step 6: Final answer
    x = 157,149.51

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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.