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Finding the Fourth Proportional to 136,714.63, 205,203.30 and 66,643.15

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Solution

The fourth proportional to 136,714.63, 205,203.30 and 66,643.15 is: 100,028.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,714.63 : 205,203.30 = 66,643.15 : x
  2. Step 2: Convert to fraction form
    136,714.63/205,203.30 = 66,643.15/x
  3. Step 3: Cross multiply
    136,714.63x = 205,203.30 × 66,643.15
  4. Step 4: Simplify right side
    136,714.63x = 13,675,394,302.40
  5. Step 5: Solve for x
    x = 13,675,394,302.40/136,714.63
  6. Step 6: Final answer
    x = 100,028.76

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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.