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Finding the Fourth Proportional to 48.74, 72.57 and 47.15

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Solution

The fourth proportional to 48.74, 72.57 and 47.15 is: 70.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.74 : 72.57 = 47.15 : x
  2. Step 2: Convert to fraction form
    48.74/72.57 = 47.15/x
  3. Step 3: Cross multiply
    48.74x = 72.57 × 47.15
  4. Step 4: Simplify right side
    48.74x = 3,421.31
  5. Step 5: Solve for x
    x = 3,421.31/48.74
  6. Step 6: Final answer
    x = 70.20

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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.