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Finding the Fourth Proportional to 127.30, 191.04 and 73.18

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Solution

The fourth proportional to 127.30, 191.04 and 73.18 is: 109.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.30 : 191.04 = 73.18 : x
  2. Step 2: Convert to fraction form
    127.30/191.04 = 73.18/x
  3. Step 3: Cross multiply
    127.30x = 191.04 × 73.18
  4. Step 4: Simplify right side
    127.30x = 13,980.31
  5. Step 5: Solve for x
    x = 13,980.31/127.30
  6. Step 6: Final answer
    x = 109.82

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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.