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Finding the Fourth Proportional to 94.70, 130.80 and 87

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Solution

The fourth proportional to 94.70, 130.80 and 87 is: 120.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.70 : 130.80 = 87 : x
  2. Step 2: Convert to fraction form
    94.70/130.80 = 87/x
  3. Step 3: Cross multiply
    94.70x = 130.80 × 87
  4. Step 4: Simplify right side
    94.70x = 11,379.60
  5. Step 5: Solve for x
    x = 11,379.60/94.70
  6. Step 6: Final answer
    x = 120.16

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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.