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Finding the Fourth Proportional to 188,308.48, 259,864.81 and 102,266.86

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Solution

The fourth proportional to 188,308.48, 259,864.81 and 102,266.86 is: 141,127.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,308.48 : 259,864.81 = 102,266.86 : x
  2. Step 2: Convert to fraction form
    188,308.48/259,864.81 = 102,266.86/x
  3. Step 3: Cross multiply
    188,308.48x = 259,864.81 × 102,266.86
  4. Step 4: Simplify right side
    188,308.48x = 26,575,558,143.20
  5. Step 5: Solve for x
    x = 26,575,558,143.20/188,308.48
  6. Step 6: Final answer
    x = 141,127.78

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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.