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Finding the Fourth Proportional to 97.88, 135.06 and 53.61

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Solution

The fourth proportional to 97.88, 135.06 and 53.61 is: 73.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.88 : 135.06 = 53.61 : x
  2. Step 2: Convert to fraction form
    97.88/135.06 = 53.61/x
  3. Step 3: Cross multiply
    97.88x = 135.06 × 53.61
  4. Step 4: Simplify right side
    97.88x = 7,240.57
  5. Step 5: Solve for x
    x = 7,240.57/97.88
  6. Step 6: Final answer
    x = 73.98

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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.