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Finding the Fourth Proportional to 100,241.93, 138,281.33 and 61,989.28

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Solution

The fourth proportional to 100,241.93, 138,281.33 and 61,989.28 is: 85,512.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,241.93 : 138,281.33 = 61,989.28 : x
  2. Step 2: Convert to fraction form
    100,241.93/138,281.33 = 61,989.28/x
  3. Step 3: Cross multiply
    100,241.93x = 138,281.33 × 61,989.28
  4. Step 4: Simplify right side
    100,241.93x = 8,571,959,893.41
  5. Step 5: Solve for x
    x = 8,571,959,893.41/100,241.93
  6. Step 6: Final answer
    x = 85,512.72

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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.