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Finding the Fourth Proportional to 61.50, 84.74 and 45.08

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Solution

The fourth proportional to 61.50, 84.74 and 45.08 is: 62.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.50 : 84.74 = 45.08 : x
  2. Step 2: Convert to fraction form
    61.50/84.74 = 45.08/x
  3. Step 3: Cross multiply
    61.50x = 84.74 × 45.08
  4. Step 4: Simplify right side
    61.50x = 3,820.08
  5. Step 5: Solve for x
    x = 3,820.08/61.50
  6. Step 6: Final answer
    x = 62.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.