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Finding the Fourth Proportional to 137,648.96, 206,448.83 and 87,580.32

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Solution

The fourth proportional to 137,648.96, 206,448.83 and 87,580.32 is: 131,354.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,648.96 : 206,448.83 = 87,580.32 : x
  2. Step 2: Convert to fraction form
    137,648.96/206,448.83 = 87,580.32/x
  3. Step 3: Cross multiply
    137,648.96x = 206,448.83 × 87,580.32
  4. Step 4: Simplify right side
    137,648.96x = 18,080,854,157.12
  5. Step 5: Solve for x
    x = 18,080,854,157.12/137,648.96
  6. Step 6: Final answer
    x = 131,354.82

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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.