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Finding the Fourth Proportional to 70,455.72, 105,652.86 and 26,649

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Solution

The fourth proportional to 70,455.72, 105,652.86 and 26,649 is: 39,961.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,455.72 : 105,652.86 = 26,649 : x
  2. Step 2: Convert to fraction form
    70,455.72/105,652.86 = 26,649/x
  3. Step 3: Cross multiply
    70,455.72x = 105,652.86 × 26,649
  4. Step 4: Simplify right side
    70,455.72x = 2,815,543,066.14
  5. Step 5: Solve for x
    x = 2,815,543,066.14/70,455.72
  6. Step 6: Final answer
    x = 39,961.88

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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.