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Finding the Fourth Proportional to 100,038.78, 150,083.28 and 29,917.89

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Solution

The fourth proportional to 100,038.78, 150,083.28 and 29,917.89 is: 44,884.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,038.78 : 150,083.28 = 29,917.89 : x
  2. Step 2: Convert to fraction form
    100,038.78/150,083.28 = 29,917.89/x
  3. Step 3: Cross multiply
    100,038.78x = 150,083.28 × 29,917.89
  4. Step 4: Simplify right side
    100,038.78x = 4,490,175,061.88
  5. Step 5: Solve for x
    x = 4,490,175,061.88/100,038.78
  6. Step 6: Final answer
    x = 44,884.34

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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.