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Finding the Fourth Proportional to 70,494.48, 105,536.88 and 54,864.72

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Solution

The fourth proportional to 70,494.48, 105,536.88 and 54,864.72 is: 82,137.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,494.48 : 105,536.88 = 54,864.72 : x
  2. Step 2: Convert to fraction form
    70,494.48/105,536.88 = 54,864.72/x
  3. Step 3: Cross multiply
    70,494.48x = 105,536.88 × 54,864.72
  4. Step 4: Simplify right side
    70,494.48x = 5,790,251,370.87
  5. Step 5: Solve for x
    x = 5,790,251,370.87/70,494.48
  6. Step 6: Final answer
    x = 82,137.66

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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.