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Finding the Fourth Proportional to 202,638.88, 303,869.84 and 77,892

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Solution

The fourth proportional to 202,638.88, 303,869.84 and 77,892 is: 116,803.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,638.88 : 303,869.84 = 77,892 : x
  2. Step 2: Convert to fraction form
    202,638.88/303,869.84 = 77,892/x
  3. Step 3: Cross multiply
    202,638.88x = 303,869.84 × 77,892
  4. Step 4: Simplify right side
    202,638.88x = 23,669,029,577.28
  5. Step 5: Solve for x
    x = 23,669,029,577.28/202,638.88
  6. Step 6: Final answer
    x = 116,803.99

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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.