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Finding the Fourth Proportional to 119,161.39, 164,443.85 and 65,447.50

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Solution

The fourth proportional to 119,161.39, 164,443.85 and 65,447.50 is: 90,318.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,161.39 : 164,443.85 = 65,447.50 : x
  2. Step 2: Convert to fraction form
    119,161.39/164,443.85 = 65,447.50/x
  3. Step 3: Cross multiply
    119,161.39x = 164,443.85 × 65,447.50
  4. Step 4: Simplify right side
    119,161.39x = 10,762,438,872.88
  5. Step 5: Solve for x
    x = 10,762,438,872.88/119,161.39
  6. Step 6: Final answer
    x = 90,318.17

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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.