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Finding the Fourth Proportional to 115.10, 158.64 and 78.24

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Solution

The fourth proportional to 115.10, 158.64 and 78.24 is: 107.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.10 : 158.64 = 78.24 : x
  2. Step 2: Convert to fraction form
    115.10/158.64 = 78.24/x
  3. Step 3: Cross multiply
    115.10x = 158.64 × 78.24
  4. Step 4: Simplify right side
    115.10x = 12,411.99
  5. Step 5: Solve for x
    x = 12,411.99/115.10
  6. Step 6: Final answer
    x = 107.84

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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.