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Finding the Fourth Proportional to 136,863.54, 205,295.31 and 43,362

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Solution

The fourth proportional to 136,863.54, 205,295.31 and 43,362 is: 65,043.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,863.54 : 205,295.31 = 43,362 : x
  2. Step 2: Convert to fraction form
    136,863.54/205,295.31 = 43,362/x
  3. Step 3: Cross multiply
    136,863.54x = 205,295.31 × 43,362
  4. Step 4: Simplify right side
    136,863.54x = 8,902,015,232.22
  5. Step 5: Solve for x
    x = 8,902,015,232.22/136,863.54
  6. Step 6: Final answer
    x = 65,043.00

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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.