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Finding the Fourth Proportional to 73.45, 101.88 and 70.86

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Solution

The fourth proportional to 73.45, 101.88 and 70.86 is: 98.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.45 : 101.88 = 70.86 : x
  2. Step 2: Convert to fraction form
    73.45/101.88 = 70.86/x
  3. Step 3: Cross multiply
    73.45x = 101.88 × 70.86
  4. Step 4: Simplify right side
    73.45x = 7,218.35
  5. Step 5: Solve for x
    x = 7,218.35/73.45
  6. Step 6: Final answer
    x = 98.28

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.