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Finding the Fourth Proportional to 287,139.20, 430,708.80 and 100,150.70

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Solution

The fourth proportional to 287,139.20, 430,708.80 and 100,150.70 is: 150,226.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,139.20 : 430,708.80 = 100,150.70 : x
  2. Step 2: Convert to fraction form
    287,139.20/430,708.80 = 100,150.70/x
  3. Step 3: Cross multiply
    287,139.20x = 430,708.80 × 100,150.70
  4. Step 4: Simplify right side
    287,139.20x = 43,135,787,816.16
  5. Step 5: Solve for x
    x = 43,135,787,816.16/287,139.20
  6. Step 6: Final answer
    x = 150,226.05

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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.