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Finding the Fourth Proportional to 87.18, 130.86 and 46.69

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Solution

The fourth proportional to 87.18, 130.86 and 46.69 is: 70.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.18 : 130.86 = 46.69 : x
  2. Step 2: Convert to fraction form
    87.18/130.86 = 46.69/x
  3. Step 3: Cross multiply
    87.18x = 130.86 × 46.69
  4. Step 4: Simplify right side
    87.18x = 6,109.85
  5. Step 5: Solve for x
    x = 6,109.85/87.18
  6. Step 6: Final answer
    x = 70.08

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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.