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Finding the Fourth Proportional to 200,040, 300,062.88 and 52,296

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Solution

The fourth proportional to 200,040, 300,062.88 and 52,296 is: 78,444.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,040 : 300,062.88 = 52,296 : x
  2. Step 2: Convert to fraction form
    200,040/300,062.88 = 52,296/x
  3. Step 3: Cross multiply
    200,040x = 300,062.88 × 52,296
  4. Step 4: Simplify right side
    200,040x = 15,692,088,372.48
  5. Step 5: Solve for x
    x = 15,692,088,372.48/200,040
  6. Step 6: Final answer
    x = 78,444.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.