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Finding the Fourth Proportional to 119,104.80, 164,363.88 and 65,390.64

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Solution

The fourth proportional to 119,104.80, 164,363.88 and 65,390.64 is: 90,238.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,104.80 : 164,363.88 = 65,390.64 : x
  2. Step 2: Convert to fraction form
    119,104.80/164,363.88 = 65,390.64/x
  3. Step 3: Cross multiply
    119,104.80x = 164,363.88 × 65,390.64
  4. Step 4: Simplify right side
    119,104.80x = 10,747,859,306.08
  5. Step 5: Solve for x
    x = 10,747,859,306.08/119,104.80
  6. Step 6: Final answer
    x = 90,238.67

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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.