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Finding the Fourth Proportional to 138,918, 191,706.84 and 75,255.78

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Solution

The fourth proportional to 138,918, 191,706.84 and 75,255.78 is: 103,852.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,918 : 191,706.84 = 75,255.78 : x
  2. Step 2: Convert to fraction form
    138,918/191,706.84 = 75,255.78/x
  3. Step 3: Cross multiply
    138,918x = 191,706.84 × 75,255.78
  4. Step 4: Simplify right side
    138,918x = 14,427,047,775.54
  5. Step 5: Solve for x
    x = 14,427,047,775.54/138,918
  6. Step 6: Final answer
    x = 103,852.98

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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.