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Finding the Fourth Proportional to 123.95, 170.87 and 100.53

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Solution

The fourth proportional to 123.95, 170.87 and 100.53 is: 138.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.95 : 170.87 = 100.53 : x
  2. Step 2: Convert to fraction form
    123.95/170.87 = 100.53/x
  3. Step 3: Cross multiply
    123.95x = 170.87 × 100.53
  4. Step 4: Simplify right side
    123.95x = 17,177.06
  5. Step 5: Solve for x
    x = 17,177.06/123.95
  6. Step 6: Final answer
    x = 138.58

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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.