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Finding the Fourth Proportional to 138,076.84, 190,523.80 and 77,643.88

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Solution

The fourth proportional to 138,076.84, 190,523.80 and 77,643.88 is: 107,136.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,076.84 : 190,523.80 = 77,643.88 : x
  2. Step 2: Convert to fraction form
    138,076.84/190,523.80 = 77,643.88/x
  3. Step 3: Cross multiply
    138,076.84x = 190,523.80 × 77,643.88
  4. Step 4: Simplify right side
    138,076.84x = 14,793,006,305.83
  5. Step 5: Solve for x
    x = 14,793,006,305.83/138,076.84
  6. Step 6: Final answer
    x = 107,136.05

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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.