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Finding the Fourth Proportional to 203,358.49, 304,979.40 and 78,670.33

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Solution

The fourth proportional to 203,358.49, 304,979.40 and 78,670.33 is: 117,982.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,358.49 : 304,979.40 = 78,670.33 : x
  2. Step 2: Convert to fraction form
    203,358.49/304,979.40 = 78,670.33/x
  3. Step 3: Cross multiply
    203,358.49x = 304,979.40 × 78,670.33
  4. Step 4: Simplify right side
    203,358.49x = 23,992,830,041.20
  5. Step 5: Solve for x
    x = 23,992,830,041.20/203,358.49
  6. Step 6: Final answer
    x = 117,982.93

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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.