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Finding the Fourth Proportional to 200,952, 301,428 and 82,687.68

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Solution

The fourth proportional to 200,952, 301,428 and 82,687.68 is: 124,031.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,952 : 301,428 = 82,687.68 : x
  2. Step 2: Convert to fraction form
    200,952/301,428 = 82,687.68/x
  3. Step 3: Cross multiply
    200,952x = 301,428 × 82,687.68
  4. Step 4: Simplify right side
    200,952x = 24,924,382,007.04
  5. Step 5: Solve for x
    x = 24,924,382,007.04/200,952
  6. Step 6: Final answer
    x = 124,031.52

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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.