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Finding the Fourth Proportional to 73.68, 101.40 and 58.20

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Solution

The fourth proportional to 73.68, 101.40 and 58.20 is: 80.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.68 : 101.40 = 58.20 : x
  2. Step 2: Convert to fraction form
    73.68/101.40 = 58.20/x
  3. Step 3: Cross multiply
    73.68x = 101.40 × 58.20
  4. Step 4: Simplify right side
    73.68x = 5,901.48
  5. Step 5: Solve for x
    x = 5,901.48/73.68
  6. Step 6: Final answer
    x = 80.10

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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.