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Finding the Fourth Proportional to 136,164.62, 187,830.48 and 81,702.71

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Solution

The fourth proportional to 136,164.62, 187,830.48 and 81,702.71 is: 112,703.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,164.62 : 187,830.48 = 81,702.71 : x
  2. Step 2: Convert to fraction form
    136,164.62/187,830.48 = 81,702.71/x
  3. Step 3: Cross multiply
    136,164.62x = 187,830.48 × 81,702.71
  4. Step 4: Simplify right side
    136,164.62x = 15,346,259,236.60
  5. Step 5: Solve for x
    x = 15,346,259,236.60/136,164.62
  6. Step 6: Final answer
    x = 112,703.72

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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.