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Finding the Fourth Proportional to 200,089.14, 299,800.50 and 140,800.20

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Solution

The fourth proportional to 200,089.14, 299,800.50 and 140,800.20 is: 210,965.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,089.14 : 299,800.50 = 140,800.20 : x
  2. Step 2: Convert to fraction form
    200,089.14/299,800.50 = 140,800.20/x
  3. Step 3: Cross multiply
    200,089.14x = 299,800.50 × 140,800.20
  4. Step 4: Simplify right side
    200,089.14x = 42,211,970,360.10
  5. Step 5: Solve for x
    x = 42,211,970,360.10/200,089.14
  6. Step 6: Final answer
    x = 210,965.82

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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.