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Finding the Fourth Proportional to 48.78, 72.30 and 48.78

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Solution

The fourth proportional to 48.78, 72.30 and 48.78 is: 72.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.78 : 72.30 = 48.78 : x
  2. Step 2: Convert to fraction form
    48.78/72.30 = 48.78/x
  3. Step 3: Cross multiply
    48.78x = 72.30 × 48.78
  4. Step 4: Simplify right side
    48.78x = 3,526.79
  5. Step 5: Solve for x
    x = 3,526.79/48.78
  6. Step 6: Final answer
    x = 72.30

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.