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Finding the Fourth Proportional to 100,008.42, 149,954.31 and 29,868.90

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Solution

The fourth proportional to 100,008.42, 149,954.31 and 29,868.90 is: 44,785.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,008.42 : 149,954.31 = 29,868.90 : x
  2. Step 2: Convert to fraction form
    100,008.42/149,954.31 = 29,868.90/x
  3. Step 3: Cross multiply
    100,008.42x = 149,954.31 × 29,868.90
  4. Step 4: Simplify right side
    100,008.42x = 4,478,970,289.96
  5. Step 5: Solve for x
    x = 4,478,970,289.96/100,008.42
  6. Step 6: Final answer
    x = 44,785.93

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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.