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Finding the Fourth Proportional to 78.42, 117.48 and 64.02

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Solution

The fourth proportional to 78.42, 117.48 and 64.02 is: 95.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.42 : 117.48 = 64.02 : x
  2. Step 2: Convert to fraction form
    78.42/117.48 = 64.02/x
  3. Step 3: Cross multiply
    78.42x = 117.48 × 64.02
  4. Step 4: Simplify right side
    78.42x = 7,521.07
  5. Step 5: Solve for x
    x = 7,521.07/78.42
  6. Step 6: Final answer
    x = 95.91

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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.