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Finding the Fourth Proportional to 59.85, 89.70 and 54.31

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Solution

The fourth proportional to 59.85, 89.70 and 54.31 is: 81.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.85 : 89.70 = 54.31 : x
  2. Step 2: Convert to fraction form
    59.85/89.70 = 54.31/x
  3. Step 3: Cross multiply
    59.85x = 89.70 × 54.31
  4. Step 4: Simplify right side
    59.85x = 4,871.61
  5. Step 5: Solve for x
    x = 4,871.61/59.85
  6. Step 6: Final answer
    x = 81.40

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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.