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Finding the Fourth Proportional to 106.56, 159.70 and 77.50

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Solution

The fourth proportional to 106.56, 159.70 and 77.50 is: 116.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.56 : 159.70 = 77.50 : x
  2. Step 2: Convert to fraction form
    106.56/159.70 = 77.50/x
  3. Step 3: Cross multiply
    106.56x = 159.70 × 77.50
  4. Step 4: Simplify right side
    106.56x = 12,376.36
  5. Step 5: Solve for x
    x = 12,376.36/106.56
  6. Step 6: Final answer
    x = 116.14

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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.