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Finding the Fourth Proportional to 73.50, 101.40 and 50.24

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Solution

The fourth proportional to 73.50, 101.40 and 50.24 is: 69.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.50 : 101.40 = 50.24 : x
  2. Step 2: Convert to fraction form
    73.50/101.40 = 50.24/x
  3. Step 3: Cross multiply
    73.50x = 101.40 × 50.24
  4. Step 4: Simplify right side
    73.50x = 5,094.34
  5. Step 5: Solve for x
    x = 5,094.34/73.50
  6. Step 6: Final answer
    x = 69.31

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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.