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Finding the Fourth Proportional to 135,784.86, 187,367.76 and 75,339.78

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Solution

The fourth proportional to 135,784.86, 187,367.76 and 75,339.78 is: 103,960.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,784.86 : 187,367.76 = 75,339.78 : x
  2. Step 2: Convert to fraction form
    135,784.86/187,367.76 = 75,339.78/x
  3. Step 3: Cross multiply
    135,784.86x = 187,367.76 × 75,339.78
  4. Step 4: Simplify right side
    135,784.86x = 14,116,245,817.49
  5. Step 5: Solve for x
    x = 14,116,245,817.49/135,784.86
  6. Step 6: Final answer
    x = 103,960.38

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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.