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Finding the Fourth Proportional to 205,755.84, 308,422.56 and 100,445.28

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Solution

The fourth proportional to 205,755.84, 308,422.56 and 100,445.28 is: 150,564.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,755.84 : 308,422.56 = 100,445.28 : x
  2. Step 2: Convert to fraction form
    205,755.84/308,422.56 = 100,445.28/x
  3. Step 3: Cross multiply
    205,755.84x = 308,422.56 × 100,445.28
  4. Step 4: Simplify right side
    205,755.84x = 30,979,590,397.52
  5. Step 5: Solve for x
    x = 30,979,590,397.52/205,755.84
  6. Step 6: Final answer
    x = 150,564.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.