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Finding the Fourth Proportional to 119,439.16, 164,821.06 and 64,991.54

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Solution

The fourth proportional to 119,439.16, 164,821.06 and 64,991.54 is: 89,685.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,439.16 : 164,821.06 = 64,991.54 : x
  2. Step 2: Convert to fraction form
    119,439.16/164,821.06 = 64,991.54/x
  3. Step 3: Cross multiply
    119,439.16x = 164,821.06 × 64,991.54
  4. Step 4: Simplify right side
    119,439.16x = 10,711,974,513.83
  5. Step 5: Solve for x
    x = 10,711,974,513.83/119,439.16
  6. Step 6: Final answer
    x = 89,685.61

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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.