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Finding the Fourth Proportional to 86.73, 129.98 and 70.53

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Solution

The fourth proportional to 86.73, 129.98 and 70.53 is: 105.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.73 : 129.98 = 70.53 : x
  2. Step 2: Convert to fraction form
    86.73/129.98 = 70.53/x
  3. Step 3: Cross multiply
    86.73x = 129.98 × 70.53
  4. Step 4: Simplify right side
    86.73x = 9,167.49
  5. Step 5: Solve for x
    x = 9,167.49/86.73
  6. Step 6: Final answer
    x = 105.70

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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.