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Finding the Fourth Proportional to 100.42, 149.90 and 93.12

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Solution

The fourth proportional to 100.42, 149.90 and 93.12 is: 139.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.42 : 149.90 = 93.12 : x
  2. Step 2: Convert to fraction form
    100.42/149.90 = 93.12/x
  3. Step 3: Cross multiply
    100.42x = 149.90 × 93.12
  4. Step 4: Simplify right side
    100.42x = 13,958.69
  5. Step 5: Solve for x
    x = 13,958.69/100.42
  6. Step 6: Final answer
    x = 139.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.