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Finding the Fourth Proportional to 70,239.26, 105,199.86 and 54,332.48

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Solution

The fourth proportional to 70,239.26, 105,199.86 and 54,332.48 is: 81,375.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,239.26 : 105,199.86 = 54,332.48 : x
  2. Step 2: Convert to fraction form
    70,239.26/105,199.86 = 54,332.48/x
  3. Step 3: Cross multiply
    70,239.26x = 105,199.86 × 54,332.48
  4. Step 4: Simplify right side
    70,239.26x = 5,715,769,289.45
  5. Step 5: Solve for x
    x = 5,715,769,289.45/70,239.26
  6. Step 6: Final answer
    x = 81,375.70

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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.