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Finding the Fourth Proportional to 119,162.95, 164,376.21 and 71,388.61

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Solution

The fourth proportional to 119,162.95, 164,376.21 and 71,388.61 is: 98,475.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,162.95 : 164,376.21 = 71,388.61 : x
  2. Step 2: Convert to fraction form
    119,162.95/164,376.21 = 71,388.61/x
  3. Step 3: Cross multiply
    119,162.95x = 164,376.21 × 71,388.61
  4. Step 4: Simplify right side
    119,162.95x = 11,734,589,930.35
  5. Step 5: Solve for x
    x = 11,734,589,930.35/119,162.95
  6. Step 6: Final answer
    x = 98,475.16

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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.