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Finding the Fourth Proportional to 200,906.40, 301,705.20 and 142,154.40

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Solution

The fourth proportional to 200,906.40, 301,705.20 and 142,154.40 is: 213,476.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,906.40 : 301,705.20 = 142,154.40 : x
  2. Step 2: Convert to fraction form
    200,906.40/301,705.20 = 142,154.40/x
  3. Step 3: Cross multiply
    200,906.40x = 301,705.20 × 142,154.40
  4. Step 4: Simplify right side
    200,906.40x = 42,888,721,682.88
  5. Step 5: Solve for x
    x = 42,888,721,682.88/200,906.40
  6. Step 6: Final answer
    x = 213,476.13

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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.