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Finding the Fourth Proportional to 205,406.75, 308,110.06 and 77,347.14

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Solution

The fourth proportional to 205,406.75, 308,110.06 and 77,347.14 is: 116,020.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,406.75 : 308,110.06 = 77,347.14 : x
  2. Step 2: Convert to fraction form
    205,406.75/308,110.06 = 77,347.14/x
  3. Step 3: Cross multiply
    205,406.75x = 308,110.06 × 77,347.14
  4. Step 4: Simplify right side
    205,406.75x = 23,831,430,887.50
  5. Step 5: Solve for x
    x = 23,831,430,887.50/205,406.75
  6. Step 6: Final answer
    x = 116,020.68

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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.