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Finding the Fourth Proportional to 209,238.90, 288,746.28 and 113,748

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Solution

The fourth proportional to 209,238.90, 288,746.28 and 113,748 is: 156,970.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,238.90 : 288,746.28 = 113,748 : x
  2. Step 2: Convert to fraction form
    209,238.90/288,746.28 = 113,748/x
  3. Step 3: Cross multiply
    209,238.90x = 288,746.28 × 113,748
  4. Step 4: Simplify right side
    209,238.90x = 32,844,311,857.44
  5. Step 5: Solve for x
    x = 32,844,311,857.44/209,238.90
  6. Step 6: Final answer
    x = 156,970.39

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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.