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Finding the Fourth Proportional to 73.34, 100.83 and 61.04

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Solution

The fourth proportional to 73.34, 100.83 and 61.04 is: 83.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.34 : 100.83 = 61.04 : x
  2. Step 2: Convert to fraction form
    73.34/100.83 = 61.04/x
  3. Step 3: Cross multiply
    73.34x = 100.83 × 61.04
  4. Step 4: Simplify right side
    73.34x = 6,154.16
  5. Step 5: Solve for x
    x = 6,154.16/73.34
  6. Step 6: Final answer
    x = 83.92

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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.