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Finding the Fourth Proportional to 135,702.16, 187,264.54 and 81,977.80

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Solution

The fourth proportional to 135,702.16, 187,264.54 and 81,977.80 is: 113,126.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,702.16 : 187,264.54 = 81,977.80 : x
  2. Step 2: Convert to fraction form
    135,702.16/187,264.54 = 81,977.80/x
  3. Step 3: Cross multiply
    135,702.16x = 187,264.54 × 81,977.80
  4. Step 4: Simplify right side
    135,702.16x = 15,351,535,007.21
  5. Step 5: Solve for x
    x = 15,351,535,007.21/135,702.16
  6. Step 6: Final answer
    x = 113,126.68

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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.