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Finding the Fourth Proportional to 205,928.68, 284,165.88 and 115,263.88

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Solution

The fourth proportional to 205,928.68, 284,165.88 and 115,263.88 is: 159,055.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,928.68 : 284,165.88 = 115,263.88 : x
  2. Step 2: Convert to fraction form
    205,928.68/284,165.88 = 115,263.88/x
  3. Step 3: Cross multiply
    205,928.68x = 284,165.88 × 115,263.88
  4. Step 4: Simplify right side
    205,928.68x = 32,754,061,892.41
  5. Step 5: Solve for x
    x = 32,754,061,892.41/205,928.68
  6. Step 6: Final answer
    x = 159,055.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.