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Finding the Fourth Proportional to 252,126, 378,196.29 and 65,137.50

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Solution

The fourth proportional to 252,126, 378,196.29 and 65,137.50 is: 97,708.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,126 : 378,196.29 = 65,137.50 : x
  2. Step 2: Convert to fraction form
    252,126/378,196.29 = 65,137.50/x
  3. Step 3: Cross multiply
    252,126x = 378,196.29 × 65,137.50
  4. Step 4: Simplify right side
    252,126x = 24,634,760,839.88
  5. Step 5: Solve for x
    x = 24,634,760,839.88/252,126
  6. Step 6: Final answer
    x = 97,708.13

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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.