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Finding the Fourth Proportional to 136,566.40, 205,003.20 and 105,539.20

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Solution

The fourth proportional to 136,566.40, 205,003.20 and 105,539.20 is: 158,427.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,566.40 : 205,003.20 = 105,539.20 : x
  2. Step 2: Convert to fraction form
    136,566.40/205,003.20 = 105,539.20/x
  3. Step 3: Cross multiply
    136,566.40x = 205,003.20 × 105,539.20
  4. Step 4: Simplify right side
    136,566.40x = 21,635,873,725.44
  5. Step 5: Solve for x
    x = 21,635,873,725.44/136,566.40
  6. Step 6: Final answer
    x = 158,427.50

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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.