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Finding the Fourth Proportional to 127.50, 175.83 and 86.07

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Solution

The fourth proportional to 127.50, 175.83 and 86.07 is: 118.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.50 : 175.83 = 86.07 : x
  2. Step 2: Convert to fraction form
    127.50/175.83 = 86.07/x
  3. Step 3: Cross multiply
    127.50x = 175.83 × 86.07
  4. Step 4: Simplify right side
    127.50x = 15,133.69
  5. Step 5: Solve for x
    x = 15,133.69/127.50
  6. Step 6: Final answer
    x = 118.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.