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Finding the Fourth Proportional to 138,856.49, 191,622.54 and 75,194.34

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Solution

The fourth proportional to 138,856.49, 191,622.54 and 75,194.34 is: 103,768.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,856.49 : 191,622.54 = 75,194.34 : x
  2. Step 2: Convert to fraction form
    138,856.49/191,622.54 = 75,194.34/x
  3. Step 3: Cross multiply
    138,856.49x = 191,622.54 × 75,194.34
  4. Step 4: Simplify right side
    138,856.49x = 14,408,929,466.31
  5. Step 5: Solve for x
    x = 14,408,929,466.31/138,856.49
  6. Step 6: Final answer
    x = 103,768.50

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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.