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Finding the Fourth Proportional to 200,423.20, 300,148.80 and 106,722.40

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Solution

The fourth proportional to 200,423.20, 300,148.80 and 106,722.40 is: 159,824.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,423.20 : 300,148.80 = 106,722.40 : x
  2. Step 2: Convert to fraction form
    200,423.20/300,148.80 = 106,722.40/x
  3. Step 3: Cross multiply
    200,423.20x = 300,148.80 × 106,722.40
  4. Step 4: Simplify right side
    200,423.20x = 32,032,600,293.12
  5. Step 5: Solve for x
    x = 32,032,600,293.12/200,423.20
  6. Step 6: Final answer
    x = 159,824.81

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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.