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Finding the Fourth Proportional to 103.63, 142.76 and 72.50

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Solution

The fourth proportional to 103.63, 142.76 and 72.50 is: 99.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.63 : 142.76 = 72.50 : x
  2. Step 2: Convert to fraction form
    103.63/142.76 = 72.50/x
  3. Step 3: Cross multiply
    103.63x = 142.76 × 72.50
  4. Step 4: Simplify right side
    103.63x = 10,349.57
  5. Step 5: Solve for x
    x = 10,349.57/103.63
  6. Step 6: Final answer
    x = 99.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.