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Finding the Fourth Proportional to 116.40, 174.53 and 70.76

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Solution

The fourth proportional to 116.40, 174.53 and 70.76 is: 106.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.40 : 174.53 = 70.76 : x
  2. Step 2: Convert to fraction form
    116.40/174.53 = 70.76/x
  3. Step 3: Cross multiply
    116.40x = 174.53 × 70.76
  4. Step 4: Simplify right side
    116.40x = 12,348.52
  5. Step 5: Solve for x
    x = 12,348.52/116.40
  6. Step 6: Final answer
    x = 106.09

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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.