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Finding the Fourth Proportional to 75.74, 113.72 and 46.89

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Solution

The fourth proportional to 75.74, 113.72 and 46.89 is: 70.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.74 : 113.72 = 46.89 : x
  2. Step 2: Convert to fraction form
    75.74/113.72 = 46.89/x
  3. Step 3: Cross multiply
    75.74x = 113.72 × 46.89
  4. Step 4: Simplify right side
    75.74x = 5,332.10
  5. Step 5: Solve for x
    x = 5,332.10/75.74
  6. Step 6: Final answer
    x = 70.40

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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.