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Finding the Fourth Proportional to 100,774.97, 151,156.97 and 30,648.81

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Solution

The fourth proportional to 100,774.97, 151,156.97 and 30,648.81 is: 45,971.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,774.97 : 151,156.97 = 30,648.81 : x
  2. Step 2: Convert to fraction form
    100,774.97/151,156.97 = 30,648.81/x
  3. Step 3: Cross multiply
    100,774.97x = 151,156.97 × 30,648.81
  4. Step 4: Simplify right side
    100,774.97x = 4,632,781,253.71
  5. Step 5: Solve for x
    x = 4,632,781,253.71/100,774.97
  6. Step 6: Final answer
    x = 45,971.55

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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.