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Finding the Fourth Proportional to 138,161.88, 190,663.40 and 78,545.88

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Solution

The fourth proportional to 138,161.88, 190,663.40 and 78,545.88 is: 108,393.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,161.88 : 190,663.40 = 78,545.88 : x
  2. Step 2: Convert to fraction form
    138,161.88/190,663.40 = 78,545.88/x
  3. Step 3: Cross multiply
    138,161.88x = 190,663.40 × 78,545.88
  4. Step 4: Simplify right side
    138,161.88x = 14,975,823,190.75
  5. Step 5: Solve for x
    x = 14,975,823,190.75/138,161.88
  6. Step 6: Final answer
    x = 108,393.31

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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.