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Finding the Fourth Proportional to 100.47, 137.45 and 100.04

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Solution

The fourth proportional to 100.47, 137.45 and 100.04 is: 136.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.47 : 137.45 = 100.04 : x
  2. Step 2: Convert to fraction form
    100.47/137.45 = 100.04/x
  3. Step 3: Cross multiply
    100.47x = 137.45 × 100.04
  4. Step 4: Simplify right side
    100.47x = 13,750.06
  5. Step 5: Solve for x
    x = 13,750.06/100.47
  6. Step 6: Final answer
    x = 136.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.