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Finding the Fourth Proportional to 138,770.98, 191,504.16 and 75,108.76

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Solution

The fourth proportional to 138,770.98, 191,504.16 and 75,108.76 is: 103,650.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,770.98 : 191,504.16 = 75,108.76 : x
  2. Step 2: Convert to fraction form
    138,770.98/191,504.16 = 75,108.76/x
  3. Step 3: Cross multiply
    138,770.98x = 191,504.16 × 75,108.76
  4. Step 4: Simplify right side
    138,770.98x = 14,383,639,992.44
  5. Step 5: Solve for x
    x = 14,383,639,992.44/138,770.98
  6. Step 6: Final answer
    x = 103,650.20

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1.5x scale

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.