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Finding the Fourth Proportional to 119,704.82, 165,193.16 and 65,988.66

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Solution

The fourth proportional to 119,704.82, 165,193.16 and 65,988.66 is: 91,064.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,704.82 : 165,193.16 = 65,988.66 : x
  2. Step 2: Convert to fraction form
    119,704.82/165,193.16 = 65,988.66/x
  3. Step 3: Cross multiply
    119,704.82x = 165,193.16 × 65,988.66
  4. Step 4: Simplify right side
    119,704.82x = 10,900,875,434.95
  5. Step 5: Solve for x
    x = 10,900,875,434.95/119,704.82
  6. Step 6: Final answer
    x = 91,064.63

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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.