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Finding the Fourth Proportional to 100,029.50, 150,023.74 and 43,838.63

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Solution

The fourth proportional to 100,029.50, 150,023.74 and 43,838.63 is: 65,748.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,029.50 : 150,023.74 = 43,838.63 : x
  2. Step 2: Convert to fraction form
    100,029.50/150,023.74 = 43,838.63/x
  3. Step 3: Cross multiply
    100,029.50x = 150,023.74 × 43,838.63
  4. Step 4: Simplify right side
    100,029.50x = 6,576,835,658.93
  5. Step 5: Solve for x
    x = 6,576,835,658.93/100,029.50
  6. Step 6: Final answer
    x = 65,748.96

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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.