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Finding the Fourth Proportional to 203,099.04, 304,564.50 and 76,717.80

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Solution

The fourth proportional to 203,099.04, 304,564.50 and 76,717.80 is: 115,044.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,099.04 : 304,564.50 = 76,717.80 : x
  2. Step 2: Convert to fraction form
    203,099.04/304,564.50 = 76,717.80/x
  3. Step 3: Cross multiply
    203,099.04x = 304,564.50 × 76,717.80
  4. Step 4: Simplify right side
    203,099.04x = 23,365,518,398.10
  5. Step 5: Solve for x
    x = 23,365,518,398.10/203,099.04
  6. Step 6: Final answer
    x = 115,044.95

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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.