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Finding the Fourth Proportional to 119,378.46, 164,742.39 and 69,078.30

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Solution

The fourth proportional to 119,378.46, 164,742.39 and 69,078.30 is: 95,328.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,378.46 : 164,742.39 = 69,078.30 : x
  2. Step 2: Convert to fraction form
    119,378.46/164,742.39 = 69,078.30/x
  3. Step 3: Cross multiply
    119,378.46x = 164,742.39 × 69,078.30
  4. Step 4: Simplify right side
    119,378.46x = 11,380,124,239.14
  5. Step 5: Solve for x
    x = 11,380,124,239.14/119,378.46
  6. Step 6: Final answer
    x = 95,328.12

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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.