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Finding the Fourth Proportional to 75.83, 114.35 and 73.08

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Solution

The fourth proportional to 75.83, 114.35 and 73.08 is: 110.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.83 : 114.35 = 73.08 : x
  2. Step 2: Convert to fraction form
    75.83/114.35 = 73.08/x
  3. Step 3: Cross multiply
    75.83x = 114.35 × 73.08
  4. Step 4: Simplify right side
    75.83x = 8,356.33
  5. Step 5: Solve for x
    x = 8,356.33/75.83
  6. Step 6: Final answer
    x = 110.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.