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Finding the Fourth Proportional to 128,971.84, 193,395.68 and 100,820.56

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Solution

The fourth proportional to 128,971.84, 193,395.68 and 100,820.56 is: 151,182.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,971.84 : 193,395.68 = 100,820.56 : x
  2. Step 2: Convert to fraction form
    128,971.84/193,395.68 = 100,820.56/x
  3. Step 3: Cross multiply
    128,971.84x = 193,395.68 × 100,820.56
  4. Step 4: Simplify right side
    128,971.84x = 19,498,260,759.18
  5. Step 5: Solve for x
    x = 19,498,260,759.18/128,971.84
  6. Step 6: Final answer
    x = 151,182.31

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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.