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Finding the Fourth Proportional to 135,702.52, 187,265.86 and 78,339.90

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Solution

The fourth proportional to 135,702.52, 187,265.86 and 78,339.90 is: 108,106.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,702.52 : 187,265.86 = 78,339.90 : x
  2. Step 2: Convert to fraction form
    135,702.52/187,265.86 = 78,339.90/x
  3. Step 3: Cross multiply
    135,702.52x = 187,265.86 × 78,339.90
  4. Step 4: Simplify right side
    135,702.52x = 14,670,388,745.81
  5. Step 5: Solve for x
    x = 14,670,388,745.81/135,702.52
  6. Step 6: Final answer
    x = 108,106.97

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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.