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Finding the Fourth Proportional to 203,028.30, 304,356.69 and 78,275.34

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Solution

The fourth proportional to 203,028.30, 304,356.69 and 78,275.34 is: 117,341.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,028.30 : 304,356.69 = 78,275.34 : x
  2. Step 2: Convert to fraction form
    203,028.30/304,356.69 = 78,275.34/x
  3. Step 3: Cross multiply
    203,028.30x = 304,356.69 × 78,275.34
  4. Step 4: Simplify right side
    203,028.30x = 23,823,623,391.02
  5. Step 5: Solve for x
    x = 23,823,623,391.02/203,028.30
  6. Step 6: Final answer
    x = 117,341.39

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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.