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Finding the Fourth Proportional to 61.19, 83.84 and 61.02

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Solution

The fourth proportional to 61.19, 83.84 and 61.02 is: 83.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.19 : 83.84 = 61.02 : x
  2. Step 2: Convert to fraction form
    61.19/83.84 = 61.02/x
  3. Step 3: Cross multiply
    61.19x = 83.84 × 61.02
  4. Step 4: Simplify right side
    61.19x = 5,115.61
  5. Step 5: Solve for x
    x = 5,115.61/61.19
  6. Step 6: Final answer
    x = 83.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.