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Finding the Fourth Proportional to 105.99, 158.36 and 78.45

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Solution

The fourth proportional to 105.99, 158.36 and 78.45 is: 117.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.99 : 158.36 = 78.45 : x
  2. Step 2: Convert to fraction form
    105.99/158.36 = 78.45/x
  3. Step 3: Cross multiply
    105.99x = 158.36 × 78.45
  4. Step 4: Simplify right side
    105.99x = 12,423.34
  5. Step 5: Solve for x
    x = 12,423.34/105.99
  6. Step 6: Final answer
    x = 117.21

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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.