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Finding the Fourth Proportional to 138,633.88, 191,366.50 and 107,946.22

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Solution

The fourth proportional to 138,633.88, 191,366.50 and 107,946.22 is: 149,006.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,633.88 : 191,366.50 = 107,946.22 : x
  2. Step 2: Convert to fraction form
    138,633.88/191,366.50 = 107,946.22/x
  3. Step 3: Cross multiply
    138,633.88x = 191,366.50 × 107,946.22
  4. Step 4: Simplify right side
    138,633.88x = 20,657,289,561.35
  5. Step 5: Solve for x
    x = 20,657,289,561.35/138,633.88
  6. Step 6: Final answer
    x = 149,006.07

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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.