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Finding the Fourth Proportional to 203,400, 304,809.28 and 89,411.20

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Solution

The fourth proportional to 203,400, 304,809.28 and 89,411.20 is: 133,989.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,400 : 304,809.28 = 89,411.20 : x
  2. Step 2: Convert to fraction form
    203,400/304,809.28 = 89,411.20/x
  3. Step 3: Cross multiply
    203,400x = 304,809.28 × 89,411.20
  4. Step 4: Simplify right side
    203,400x = 27,253,363,495.94
  5. Step 5: Solve for x
    x = 27,253,363,495.94/203,400
  6. Step 6: Final answer
    x = 133,989.00

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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.