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Finding the Fourth Proportional to 135,640.64, 187,188.71 and 75,207.75

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Solution

The fourth proportional to 135,640.64, 187,188.71 and 75,207.75 is: 103,789.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,640.64 : 187,188.71 = 75,207.75 : x
  2. Step 2: Convert to fraction form
    135,640.64/187,188.71 = 75,207.75/x
  3. Step 3: Cross multiply
    135,640.64x = 187,188.71 × 75,207.75
  4. Step 4: Simplify right side
    135,640.64x = 14,078,041,328.46
  5. Step 5: Solve for x
    x = 14,078,041,328.46/135,640.64
  6. Step 6: Final answer
    x = 103,789.26

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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.