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Finding the Fourth Proportional to 87.48, 130.50 and 78.36

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Solution

The fourth proportional to 87.48, 130.50 and 78.36 is: 116.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.48 : 130.50 = 78.36 : x
  2. Step 2: Convert to fraction form
    87.48/130.50 = 78.36/x
  3. Step 3: Cross multiply
    87.48x = 130.50 × 78.36
  4. Step 4: Simplify right side
    87.48x = 10,225.98
  5. Step 5: Solve for x
    x = 10,225.98/87.48
  6. Step 6: Final answer
    x = 116.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.