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Finding the Fourth Proportional to 252,188.76, 378,296.10 and 65,201.88

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Solution

The fourth proportional to 252,188.76, 378,296.10 and 65,201.88 is: 97,806.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,188.76 : 378,296.10 = 65,201.88 : x
  2. Step 2: Convert to fraction form
    252,188.76/378,296.10 = 65,201.88/x
  3. Step 3: Cross multiply
    252,188.76x = 378,296.10 × 65,201.88
  4. Step 4: Simplify right side
    252,188.76x = 24,665,616,916.67
  5. Step 5: Solve for x
    x = 24,665,616,916.67/252,188.76
  6. Step 6: Final answer
    x = 97,806.17

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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.