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Finding the Fourth Proportional to 107,287.20, 160,930.80 and 28,409.40

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Solution

The fourth proportional to 107,287.20, 160,930.80 and 28,409.40 is: 42,614.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,287.20 : 160,930.80 = 28,409.40 : x
  2. Step 2: Convert to fraction form
    107,287.20/160,930.80 = 28,409.40/x
  3. Step 3: Cross multiply
    107,287.20x = 160,930.80 × 28,409.40
  4. Step 4: Simplify right side
    107,287.20x = 4,571,947,469.52
  5. Step 5: Solve for x
    x = 4,571,947,469.52/107,287.20
  6. Step 6: Final answer
    x = 42,614.10

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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.