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Finding the Fourth Proportional to 205,351.92, 308,027.69 and 77,292.12

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Solution

The fourth proportional to 205,351.92, 308,027.69 and 77,292.12 is: 115,938.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,351.92 : 308,027.69 = 77,292.12 : x
  2. Step 2: Convert to fraction form
    205,351.92/308,027.69 = 77,292.12/x
  3. Step 3: Cross multiply
    205,351.92x = 308,027.69 × 77,292.12
  4. Step 4: Simplify right side
    205,351.92x = 23,808,112,792.34
  5. Step 5: Solve for x
    x = 23,808,112,792.34/205,351.92
  6. Step 6: Final answer
    x = 115,938.11

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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.