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Finding the Fourth Proportional to 100,111.90, 150,123.56 and 29,978.14

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Solution

The fourth proportional to 100,111.90, 150,123.56 and 29,978.14 is: 44,953.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,111.90 : 150,123.56 = 29,978.14 : x
  2. Step 2: Convert to fraction form
    100,111.90/150,123.56 = 29,978.14/x
  3. Step 3: Cross multiply
    100,111.90x = 150,123.56 × 29,978.14
  4. Step 4: Simplify right side
    100,111.90x = 4,500,425,098.98
  5. Step 5: Solve for x
    x = 4,500,425,098.98/100,111.90
  6. Step 6: Final answer
    x = 44,953.95

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1.5x scale

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.