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Finding the Fourth Proportional to 119,163.57, 164,439.21 and 65,439.93

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Solution

The fourth proportional to 119,163.57, 164,439.21 and 65,439.93 is: 90,303.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,163.57 : 164,439.21 = 65,439.93 : x
  2. Step 2: Convert to fraction form
    119,163.57/164,439.21 = 65,439.93/x
  3. Step 3: Cross multiply
    119,163.57x = 164,439.21 × 65,439.93
  4. Step 4: Simplify right side
    119,163.57x = 10,760,890,391.66
  5. Step 5: Solve for x
    x = 10,760,890,391.66/119,163.57
  6. Step 6: Final answer
    x = 90,303.52

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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.