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Finding the Fourth Proportional to 200,009.60, 300,043.20 and 106,522.40

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Solution

The fourth proportional to 200,009.60, 300,043.20 and 106,522.40 is: 159,798.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,009.60 : 300,043.20 = 106,522.40 : x
  2. Step 2: Convert to fraction form
    200,009.60/300,043.20 = 106,522.40/x
  3. Step 3: Cross multiply
    200,009.60x = 300,043.20 × 106,522.40
  4. Step 4: Simplify right side
    200,009.60x = 31,961,321,767.68
  5. Step 5: Solve for x
    x = 31,961,321,767.68/200,009.60
  6. Step 6: Final answer
    x = 159,798.94

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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.