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Finding the Fourth Proportional to 59.04, 89.04 and 54.72

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Solution

The fourth proportional to 59.04, 89.04 and 54.72 is: 82.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.04 : 89.04 = 54.72 : x
  2. Step 2: Convert to fraction form
    59.04/89.04 = 54.72/x
  3. Step 3: Cross multiply
    59.04x = 89.04 × 54.72
  4. Step 4: Simplify right side
    59.04x = 4,872.27
  5. Step 5: Solve for x
    x = 4,872.27/59.04
  6. Step 6: Final answer
    x = 82.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.