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Finding the Fourth Proportional to 138,887.13, 191,664.24 and 75,225.39

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Solution

The fourth proportional to 138,887.13, 191,664.24 and 75,225.39 is: 103,811.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,887.13 : 191,664.24 = 75,225.39 : x
  2. Step 2: Convert to fraction form
    138,887.13/191,664.24 = 75,225.39/x
  3. Step 3: Cross multiply
    138,887.13x = 191,664.24 × 75,225.39
  4. Step 4: Simplify right side
    138,887.13x = 14,418,017,203.05
  5. Step 5: Solve for x
    x = 14,418,017,203.05/138,887.13
  6. Step 6: Final answer
    x = 103,811.04

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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.