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Finding the Fourth Proportional to 78.04, 116.96 and 47.60

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Solution

The fourth proportional to 78.04, 116.96 and 47.60 is: 71.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.04 : 116.96 = 47.60 : x
  2. Step 2: Convert to fraction form
    78.04/116.96 = 47.60/x
  3. Step 3: Cross multiply
    78.04x = 116.96 × 47.60
  4. Step 4: Simplify right side
    78.04x = 5,567.30
  5. Step 5: Solve for x
    x = 5,567.30/78.04
  6. Step 6: Final answer
    x = 71.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.