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Finding the Fourth Proportional to 86.54, 129.47 and 70.20

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Solution

The fourth proportional to 86.54, 129.47 and 70.20 is: 105.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.54 : 129.47 = 70.20 : x
  2. Step 2: Convert to fraction form
    86.54/129.47 = 70.20/x
  3. Step 3: Cross multiply
    86.54x = 129.47 × 70.20
  4. Step 4: Simplify right side
    86.54x = 9,088.44
  5. Step 5: Solve for x
    x = 9,088.44/86.54
  6. Step 6: Final answer
    x = 105.03

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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.