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Finding the Fourth Proportional to 127.02, 189.99 and 86.52

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Solution

The fourth proportional to 127.02, 189.99 and 86.52 is: 129.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.02 : 189.99 = 86.52 : x
  2. Step 2: Convert to fraction form
    127.02/189.99 = 86.52/x
  3. Step 3: Cross multiply
    127.02x = 189.99 × 86.52
  4. Step 4: Simplify right side
    127.02x = 16,437.93
  5. Step 5: Solve for x
    x = 16,437.93/127.02
  6. Step 6: Final answer
    x = 129.41

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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.