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Finding the Fourth Proportional to 147.02, 220.66 and 78.50

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Solution

The fourth proportional to 147.02, 220.66 and 78.50 is: 117.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.02 : 220.66 = 78.50 : x
  2. Step 2: Convert to fraction form
    147.02/220.66 = 78.50/x
  3. Step 3: Cross multiply
    147.02x = 220.66 × 78.50
  4. Step 4: Simplify right side
    147.02x = 17,321.81
  5. Step 5: Solve for x
    x = 17,321.81/147.02
  6. Step 6: Final answer
    x = 117.82

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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.