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Finding the Fourth Proportional to 188,421.62, 260,023.29 and 103,540.10

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Solution

The fourth proportional to 188,421.62, 260,023.29 and 103,540.10 is: 142,886.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,421.62 : 260,023.29 = 103,540.10 : x
  2. Step 2: Convert to fraction form
    188,421.62/260,023.29 = 103,540.10/x
  3. Step 3: Cross multiply
    188,421.62x = 260,023.29 × 103,540.10
  4. Step 4: Simplify right side
    188,421.62x = 26,922,837,448.93
  5. Step 5: Solve for x
    x = 26,922,837,448.93/188,421.62
  6. Step 6: Final answer
    x = 142,886.14

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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.