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Finding the Fourth Proportional to 203,354.49, 304,973.40 and 78,666.33

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Solution

The fourth proportional to 203,354.49, 304,973.40 and 78,666.33 is: 117,976.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,354.49 : 304,973.40 = 78,666.33 : x
  2. Step 2: Convert to fraction form
    203,354.49/304,973.40 = 78,666.33/x
  3. Step 3: Cross multiply
    203,354.49x = 304,973.40 × 78,666.33
  4. Step 4: Simplify right side
    203,354.49x = 23,991,138,125.62
  5. Step 5: Solve for x
    x = 23,991,138,125.62/203,354.49
  6. Step 6: Final answer
    x = 117,976.93

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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.