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Finding the Fourth Proportional to 119,880, 165,434.40 and 66,888

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Solution

The fourth proportional to 119,880, 165,434.40 and 66,888 is: 92,305.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,880 : 165,434.40 = 66,888 : x
  2. Step 2: Convert to fraction form
    119,880/165,434.40 = 66,888/x
  3. Step 3: Cross multiply
    119,880x = 165,434.40 × 66,888
  4. Step 4: Simplify right side
    119,880x = 11,065,576,147.20
  5. Step 5: Solve for x
    x = 11,065,576,147.20/119,880
  6. Step 6: Final answer
    x = 92,305.44

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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.