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Finding the Fourth Proportional to 200,022.60, 299,688.30 and 129,865.80

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Solution

The fourth proportional to 200,022.60, 299,688.30 and 129,865.80 is: 194,574.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,022.60 : 299,688.30 = 129,865.80 : x
  2. Step 2: Convert to fraction form
    200,022.60/299,688.30 = 129,865.80/x
  3. Step 3: Cross multiply
    200,022.60x = 299,688.30 × 129,865.80
  4. Step 4: Simplify right side
    200,022.60x = 38,919,260,830.14
  5. Step 5: Solve for x
    x = 38,919,260,830.14/200,022.60
  6. Step 6: Final answer
    x = 194,574.32

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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.