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Finding the Fourth Proportional to 78.48, 108.18 and 56.62

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Solution

The fourth proportional to 78.48, 108.18 and 56.62 is: 78.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.48 : 108.18 = 56.62 : x
  2. Step 2: Convert to fraction form
    78.48/108.18 = 56.62/x
  3. Step 3: Cross multiply
    78.48x = 108.18 × 56.62
  4. Step 4: Simplify right side
    78.48x = 6,125.15
  5. Step 5: Solve for x
    x = 6,125.15/78.48
  6. Step 6: Final answer
    x = 78.05

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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.