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Finding the Fourth Proportional to 69,390, 95,758.20 and 39,582

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Solution

The fourth proportional to 69,390, 95,758.20 and 39,582 is: 54,623.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,390 : 95,758.20 = 39,582 : x
  2. Step 2: Convert to fraction form
    69,390/95,758.20 = 39,582/x
  3. Step 3: Cross multiply
    69,390x = 95,758.20 × 39,582
  4. Step 4: Simplify right side
    69,390x = 3,790,301,072.40
  5. Step 5: Solve for x
    x = 3,790,301,072.40/69,390
  6. Step 6: Final answer
    x = 54,623.16

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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.