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Finding the Fourth Proportional to 200,528.72, 300,802.30 and 82,117.02

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Solution

The fourth proportional to 200,528.72, 300,802.30 and 82,117.02 is: 123,179.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,528.72 : 300,802.30 = 82,117.02 : x
  2. Step 2: Convert to fraction form
    200,528.72/300,802.30 = 82,117.02/x
  3. Step 3: Cross multiply
    200,528.72x = 300,802.30 × 82,117.02
  4. Step 4: Simplify right side
    200,528.72x = 24,700,988,485.15
  5. Step 5: Solve for x
    x = 24,700,988,485.15/200,528.72
  6. Step 6: Final answer
    x = 123,179.31

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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.