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Finding the Fourth Proportional to 100,518.24, 150,742.08 and 29,421.24

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Solution

The fourth proportional to 100,518.24, 150,742.08 and 29,421.24 is: 44,121.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,518.24 : 150,742.08 = 29,421.24 : x
  2. Step 2: Convert to fraction form
    100,518.24/150,742.08 = 29,421.24/x
  3. Step 3: Cross multiply
    100,518.24x = 150,742.08 × 29,421.24
  4. Step 4: Simplify right side
    100,518.24x = 4,435,018,913.78
  5. Step 5: Solve for x
    x = 4,435,018,913.78/100,518.24
  6. Step 6: Final answer
    x = 44,121.53

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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.