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Finding the Fourth Proportional to 202,563.84, 303,787.20 and 77,875.20

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Solution

The fourth proportional to 202,563.84, 303,787.20 and 77,875.20 is: 116,790.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,563.84 : 303,787.20 = 77,875.20 : x
  2. Step 2: Convert to fraction form
    202,563.84/303,787.20 = 77,875.20/x
  3. Step 3: Cross multiply
    202,563.84x = 303,787.20 × 77,875.20
  4. Step 4: Simplify right side
    202,563.84x = 23,657,488,957.44
  5. Step 5: Solve for x
    x = 23,657,488,957.44/202,563.84
  6. Step 6: Final answer
    x = 116,790.29

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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.