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Finding the Fourth Proportional to 188,342.96, 259,919.08 and 103,460.09

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Solution

The fourth proportional to 188,342.96, 259,919.08 and 103,460.09 is: 142,778.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,342.96 : 259,919.08 = 103,460.09 : x
  2. Step 2: Convert to fraction form
    188,342.96/259,919.08 = 103,460.09/x
  3. Step 3: Cross multiply
    188,342.96x = 259,919.08 × 103,460.09
  4. Step 4: Simplify right side
    188,342.96x = 26,891,249,851.27
  5. Step 5: Solve for x
    x = 26,891,249,851.27/188,342.96
  6. Step 6: Final answer
    x = 142,778.10

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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.