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Finding the Fourth Proportional to 48.12, 71.78 and 45.10

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Solution

The fourth proportional to 48.12, 71.78 and 45.10 is: 67.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.12 : 71.78 = 45.10 : x
  2. Step 2: Convert to fraction form
    48.12/71.78 = 45.10/x
  3. Step 3: Cross multiply
    48.12x = 71.78 × 45.10
  4. Step 4: Simplify right side
    48.12x = 3,237.28
  5. Step 5: Solve for x
    x = 3,237.28/48.12
  6. Step 6: Final answer
    x = 67.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.