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Finding the Fourth Proportional to 74.29, 111.13 and 52.63

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Solution

The fourth proportional to 74.29, 111.13 and 52.63 is: 78.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.29 : 111.13 = 52.63 : x
  2. Step 2: Convert to fraction form
    74.29/111.13 = 52.63/x
  3. Step 3: Cross multiply
    74.29x = 111.13 × 52.63
  4. Step 4: Simplify right side
    74.29x = 5,848.77
  5. Step 5: Solve for x
    x = 5,848.77/74.29
  6. Step 6: Final answer
    x = 78.73

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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.