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Finding the Fourth Proportional to 223,175.52, 307,981.13 and 121,200.10

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Solution

The fourth proportional to 223,175.52, 307,981.13 and 121,200.10 is: 167,255.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,175.52 : 307,981.13 = 121,200.10 : x
  2. Step 2: Convert to fraction form
    223,175.52/307,981.13 = 121,200.10/x
  3. Step 3: Cross multiply
    223,175.52x = 307,981.13 × 121,200.10
  4. Step 4: Simplify right side
    223,175.52x = 37,327,342,378.16
  5. Step 5: Solve for x
    x = 37,327,342,378.16/223,175.52
  6. Step 6: Final answer
    x = 167,255.54

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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.