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Finding the Fourth Proportional to 75.78, 112.90 and 73.16

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Solution

The fourth proportional to 75.78, 112.90 and 73.16 is: 109.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.78 : 112.90 = 73.16 : x
  2. Step 2: Convert to fraction form
    75.78/112.90 = 73.16/x
  3. Step 3: Cross multiply
    75.78x = 112.90 × 73.16
  4. Step 4: Simplify right side
    75.78x = 8,259.76
  5. Step 5: Solve for x
    x = 8,259.76/75.78
  6. Step 6: Final answer
    x = 109.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.