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Finding the Fourth Proportional to 138,161.70, 190,669.95 and 77,729.22

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Solution

The fourth proportional to 138,161.70, 190,669.95 and 77,729.22 is: 107,270.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,161.70 : 190,669.95 = 77,729.22 : x
  2. Step 2: Convert to fraction form
    138,161.70/190,669.95 = 77,729.22/x
  3. Step 3: Cross multiply
    138,161.70x = 190,669.95 × 77,729.22
  4. Step 4: Simplify right side
    138,161.70x = 14,820,626,490.94
  5. Step 5: Solve for x
    x = 14,820,626,490.94/138,161.70
  6. Step 6: Final answer
    x = 107,270.15

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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.