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Finding the Fourth Proportional to 200,006.60, 300,038.70 and 106,519.40

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Solution

The fourth proportional to 200,006.60, 300,038.70 and 106,519.40 is: 159,794.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,006.60 : 300,038.70 = 106,519.40 : x
  2. Step 2: Convert to fraction form
    200,006.60/300,038.70 = 106,519.40/x
  3. Step 3: Cross multiply
    200,006.60x = 300,038.70 × 106,519.40
  4. Step 4: Simplify right side
    200,006.60x = 31,959,942,300.78
  5. Step 5: Solve for x
    x = 31,959,942,300.78/200,006.60
  6. Step 6: Final answer
    x = 159,794.44

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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.