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Finding the Fourth Proportional to 138,077.84, 190,525.18 and 77,644.88

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Solution

The fourth proportional to 138,077.84, 190,525.18 and 77,644.88 is: 107,137.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,077.84 : 190,525.18 = 77,644.88 : x
  2. Step 2: Convert to fraction form
    138,077.84/190,525.18 = 77,644.88/x
  3. Step 3: Cross multiply
    138,077.84x = 190,525.18 × 77,644.88
  4. Step 4: Simplify right side
    138,077.84x = 14,793,304,738.08
  5. Step 5: Solve for x
    x = 14,793,304,738.08/138,077.84
  6. Step 6: Final answer
    x = 107,137.43

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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.