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Finding the Fourth Proportional to 163,781.84, 225,938.76 and 100,009.28

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Solution

The fourth proportional to 163,781.84, 225,938.76 and 100,009.28 is: 137,963.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,781.84 : 225,938.76 = 100,009.28 : x
  2. Step 2: Convert to fraction form
    163,781.84/225,938.76 = 100,009.28/x
  3. Step 3: Cross multiply
    163,781.84x = 225,938.76 × 100,009.28
  4. Step 4: Simplify right side
    163,781.84x = 22,595,972,711.69
  5. Step 5: Solve for x
    x = 22,595,972,711.69/163,781.84
  6. Step 6: Final answer
    x = 137,963.85

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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.