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Finding the Fourth Proportional to 203,151.52, 304,643.04 and 76,769.92

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Solution

The fourth proportional to 203,151.52, 304,643.04 and 76,769.92 is: 115,123.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,151.52 : 304,643.04 = 76,769.92 : x
  2. Step 2: Convert to fraction form
    203,151.52/304,643.04 = 76,769.92/x
  3. Step 3: Cross multiply
    203,151.52x = 304,643.04 × 76,769.92
  4. Step 4: Simplify right side
    203,151.52x = 23,387,421,809.36
  5. Step 5: Solve for x
    x = 23,387,421,809.36/203,151.52
  6. Step 6: Final answer
    x = 115,123.05

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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.