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Finding the Fourth Proportional to 188,424.80, 260,023.20 and 103,540.04

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Solution

The fourth proportional to 188,424.80, 260,023.20 and 103,540.04 is: 142,883.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,424.80 : 260,023.20 = 103,540.04 : x
  2. Step 2: Convert to fraction form
    188,424.80/260,023.20 = 103,540.04/x
  3. Step 3: Cross multiply
    188,424.80x = 260,023.20 × 103,540.04
  4. Step 4: Simplify right side
    188,424.80x = 26,922,812,528.93
  5. Step 5: Solve for x
    x = 26,922,812,528.93/188,424.80
  6. Step 6: Final answer
    x = 142,883.59

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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.