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Finding the Fourth Proportional to 119,493.76, 164,901.34 and 65,778.50

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Solution

The fourth proportional to 119,493.76, 164,901.34 and 65,778.50 is: 90,774.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,493.76 : 164,901.34 = 65,778.50 : x
  2. Step 2: Convert to fraction form
    119,493.76/164,901.34 = 65,778.50/x
  3. Step 3: Cross multiply
    119,493.76x = 164,901.34 × 65,778.50
  4. Step 4: Simplify right side
    119,493.76x = 10,846,962,793.19
  5. Step 5: Solve for x
    x = 10,846,962,793.19/119,493.76
  6. Step 6: Final answer
    x = 90,774.30

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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.