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Finding the Fourth Proportional to 48,546.49, 66,978.14 and 39,578.58

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Solution

The fourth proportional to 48,546.49, 66,978.14 and 39,578.58 is: 54,605.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,546.49 : 66,978.14 = 39,578.58 : x
  2. Step 2: Convert to fraction form
    48,546.49/66,978.14 = 39,578.58/x
  3. Step 3: Cross multiply
    48,546.49x = 66,978.14 × 39,578.58
  4. Step 4: Simplify right side
    48,546.49x = 2,650,899,139.46
  5. Step 5: Solve for x
    x = 2,650,899,139.46/48,546.49
  6. Step 6: Final answer
    x = 54,605.37

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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.