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Finding the Fourth Proportional to 137,758.64, 206,637.96 and 54,652.64

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Solution

The fourth proportional to 137,758.64, 206,637.96 and 54,652.64 is: 81,978.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,758.64 : 206,637.96 = 54,652.64 : x
  2. Step 2: Convert to fraction form
    137,758.64/206,637.96 = 54,652.64/x
  3. Step 3: Cross multiply
    137,758.64x = 206,637.96 × 54,652.64
  4. Step 4: Simplify right side
    137,758.64x = 11,293,310,038.21
  5. Step 5: Solve for x
    x = 11,293,310,038.21/137,758.64
  6. Step 6: Final answer
    x = 81,978.96

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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.