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Finding the Fourth Proportional to 100,390.47, 150,487.79 and 47,785.83

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Solution

The fourth proportional to 100,390.47, 150,487.79 and 47,785.83 is: 71,632.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,390.47 : 150,487.79 = 47,785.83 : x
  2. Step 2: Convert to fraction form
    100,390.47/150,487.79 = 47,785.83/x
  3. Step 3: Cross multiply
    100,390.47x = 150,487.79 × 47,785.83
  4. Step 4: Simplify right side
    100,390.47x = 7,191,183,711.09
  5. Step 5: Solve for x
    x = 7,191,183,711.09/100,390.47
  6. Step 6: Final answer
    x = 71,632.14

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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.