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Finding the Fourth Proportional to 73.50, 101.45 and 49.01

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Solution

The fourth proportional to 73.50, 101.45 and 49.01 is: 67.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.50 : 101.45 = 49.01 : x
  2. Step 2: Convert to fraction form
    73.50/101.45 = 49.01/x
  3. Step 3: Cross multiply
    73.50x = 101.45 × 49.01
  4. Step 4: Simplify right side
    73.50x = 4,971.31
  5. Step 5: Solve for x
    x = 4,971.31/73.50
  6. Step 6: Final answer
    x = 67.64

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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.