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Finding the Fourth Proportional to 163,781.86, 226,024 and 89,195.34

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Solution

The fourth proportional to 163,781.86, 226,024 and 89,195.34 is: 123,092.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,781.86 : 226,024 = 89,195.34 : x
  2. Step 2: Convert to fraction form
    163,781.86/226,024 = 89,195.34/x
  3. Step 3: Cross multiply
    163,781.86x = 226,024 × 89,195.34
  4. Step 4: Simplify right side
    163,781.86x = 20,160,287,528.16
  5. Step 5: Solve for x
    x = 20,160,287,528.16/163,781.86
  6. Step 6: Final answer
    x = 123,092.31

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1.5x scale

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.