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Finding the Fourth Proportional to 209,352.52, 288,904.44 and 113,860

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Solution

The fourth proportional to 209,352.52, 288,904.44 and 113,860 is: 157,125.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,352.52 : 288,904.44 = 113,860 : x
  2. Step 2: Convert to fraction form
    209,352.52/288,904.44 = 113,860/x
  3. Step 3: Cross multiply
    209,352.52x = 288,904.44 × 113,860
  4. Step 4: Simplify right side
    209,352.52x = 32,894,659,538.40
  5. Step 5: Solve for x
    x = 32,894,659,538.40/209,352.52
  6. Step 6: Final answer
    x = 157,125.69

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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.