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Finding the Fourth Proportional to 48.76, 73.02 and 47.32

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Solution

The fourth proportional to 48.76, 73.02 and 47.32 is: 70.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.76 : 73.02 = 47.32 : x
  2. Step 2: Convert to fraction form
    48.76/73.02 = 47.32/x
  3. Step 3: Cross multiply
    48.76x = 73.02 × 47.32
  4. Step 4: Simplify right side
    48.76x = 3,455.40
  5. Step 5: Solve for x
    x = 3,455.40/48.76
  6. Step 6: Final answer
    x = 70.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.