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Finding the Fourth Proportional to 61.24, 83.36 and 61.06

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Solution

The fourth proportional to 61.24, 83.36 and 61.06 is: 83.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.24 : 83.36 = 61.06 : x
  2. Step 2: Convert to fraction form
    61.24/83.36 = 61.06/x
  3. Step 3: Cross multiply
    61.24x = 83.36 × 61.06
  4. Step 4: Simplify right side
    61.24x = 5,089.96
  5. Step 5: Solve for x
    x = 5,089.96/61.24
  6. Step 6: Final answer
    x = 83.11

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.