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Finding the Fourth Proportional to 78.84, 109.02 and 57.18

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Solution

The fourth proportional to 78.84, 109.02 and 57.18 is: 79.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.84 : 109.02 = 57.18 : x
  2. Step 2: Convert to fraction form
    78.84/109.02 = 57.18/x
  3. Step 3: Cross multiply
    78.84x = 109.02 × 57.18
  4. Step 4: Simplify right side
    78.84x = 6,233.76
  5. Step 5: Solve for x
    x = 6,233.76/78.84
  6. Step 6: Final answer
    x = 79.07

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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.