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Finding the Fourth Proportional to 138,914.83, 191,702.72 and 81,543.04

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Solution

The fourth proportional to 138,914.83, 191,702.72 and 81,543.04 is: 112,529.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,914.83 : 191,702.72 = 81,543.04 : x
  2. Step 2: Convert to fraction form
    138,914.83/191,702.72 = 81,543.04/x
  3. Step 3: Cross multiply
    138,914.83x = 191,702.72 × 81,543.04
  4. Step 4: Simplify right side
    138,914.83x = 15,632,022,565.07
  5. Step 5: Solve for x
    x = 15,632,022,565.07/138,914.83
  6. Step 6: Final answer
    x = 112,529.54

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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.