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Finding the Fourth Proportional to 200,077.52, 299,784 and 140,788.76

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Solution

The fourth proportional to 200,077.52, 299,784 and 140,788.76 is: 210,949.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,077.52 : 299,784 = 140,788.76 : x
  2. Step 2: Convert to fraction form
    200,077.52/299,784 = 140,788.76/x
  3. Step 3: Cross multiply
    200,077.52x = 299,784 × 140,788.76
  4. Step 4: Simplify right side
    200,077.52x = 42,206,217,627.84
  5. Step 5: Solve for x
    x = 42,206,217,627.84/200,077.52
  6. Step 6: Final answer
    x = 210,949.32

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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.