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Finding the Fourth Proportional to 135,714.21, 187,270.49 and 75,269.71

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Solution

The fourth proportional to 135,714.21, 187,270.49 and 75,269.71 is: 103,863.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,714.21 : 187,270.49 = 75,269.71 : x
  2. Step 2: Convert to fraction form
    135,714.21/187,270.49 = 75,269.71/x
  3. Step 3: Cross multiply
    135,714.21x = 187,270.49 × 75,269.71
  4. Step 4: Simplify right side
    135,714.21x = 14,095,795,473.86
  5. Step 5: Solve for x
    x = 14,095,795,473.86/135,714.21
  6. Step 6: Final answer
    x = 103,863.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.