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Finding the Fourth Proportional to 119,494.31, 164,900.81 and 65,778.14

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Solution

The fourth proportional to 119,494.31, 164,900.81 and 65,778.14 is: 90,773.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,494.31 : 164,900.81 = 65,778.14 : x
  2. Step 2: Convert to fraction form
    119,494.31/164,900.81 = 65,778.14/x
  3. Step 3: Cross multiply
    119,494.31x = 164,900.81 × 65,778.14
  4. Step 4: Simplify right side
    119,494.31x = 10,846,869,142.99
  5. Step 5: Solve for x
    x = 10,846,869,142.99/119,494.31
  6. Step 6: Final answer
    x = 90,773.11

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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.