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Finding the Fourth Proportional to 168,780, 232,945.56 and 101,712

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Solution

The fourth proportional to 168,780, 232,945.56 and 101,712 is: 140,380.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,780 : 232,945.56 = 101,712 : x
  2. Step 2: Convert to fraction form
    168,780/232,945.56 = 101,712/x
  3. Step 3: Cross multiply
    168,780x = 232,945.56 × 101,712
  4. Step 4: Simplify right side
    168,780x = 23,693,358,798.72
  5. Step 5: Solve for x
    x = 23,693,358,798.72/168,780
  6. Step 6: Final answer
    x = 140,380.13

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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.