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Finding the Fourth Proportional to 188,423.72, 260,024.73 and 103,540.78

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Solution

The fourth proportional to 188,423.72, 260,024.73 and 103,540.78 is: 142,886.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,423.72 : 260,024.73 = 103,540.78 : x
  2. Step 2: Convert to fraction form
    188,423.72/260,024.73 = 103,540.78/x
  3. Step 3: Cross multiply
    188,423.72x = 260,024.73 × 103,540.78
  4. Step 4: Simplify right side
    188,423.72x = 26,923,163,882.66
  5. Step 5: Solve for x
    x = 26,923,163,882.66/188,423.72
  6. Step 6: Final answer
    x = 142,886.28

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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.