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Finding the Fourth Proportional to 102.61, 153.74 and 73.58

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Solution

The fourth proportional to 102.61, 153.74 and 73.58 is: 110.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.61 : 153.74 = 73.58 : x
  2. Step 2: Convert to fraction form
    102.61/153.74 = 73.58/x
  3. Step 3: Cross multiply
    102.61x = 153.74 × 73.58
  4. Step 4: Simplify right side
    102.61x = 11,311.74
  5. Step 5: Solve for x
    x = 11,311.74/102.61
  6. Step 6: Final answer
    x = 110.24

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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.