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Finding the Fourth Proportional to 71.43, 106.67 and 62.31

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Solution

The fourth proportional to 71.43, 106.67 and 62.31 is: 93.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.43 : 106.67 = 62.31 : x
  2. Step 2: Convert to fraction form
    71.43/106.67 = 62.31/x
  3. Step 3: Cross multiply
    71.43x = 106.67 × 62.31
  4. Step 4: Simplify right side
    71.43x = 6,646.81
  5. Step 5: Solve for x
    x = 6,646.81/71.43
  6. Step 6: Final answer
    x = 93.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.