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Finding the Fourth Proportional to 200,523.05, 300,803.14 and 65,587.89

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Solution

The fourth proportional to 200,523.05, 300,803.14 and 65,587.89 is: 98,387.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,523.05 : 300,803.14 = 65,587.89 : x
  2. Step 2: Convert to fraction form
    200,523.05/300,803.14 = 65,587.89/x
  3. Step 3: Cross multiply
    200,523.05x = 300,803.14 × 65,587.89
  4. Step 4: Simplify right side
    200,523.05x = 19,729,041,426.02
  5. Step 5: Solve for x
    x = 19,729,041,426.02/200,523.05
  6. Step 6: Final answer
    x = 98,387.90

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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.