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Finding the Fourth Proportional to 138,086.19, 190,566.48 and 77,660.40

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Solution

The fourth proportional to 138,086.19, 190,566.48 and 77,660.40 is: 107,175.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,086.19 : 190,566.48 = 77,660.40 : x
  2. Step 2: Convert to fraction form
    138,086.19/190,566.48 = 77,660.40/x
  3. Step 3: Cross multiply
    138,086.19x = 190,566.48 × 77,660.40
  4. Step 4: Simplify right side
    138,086.19x = 14,799,469,039.31
  5. Step 5: Solve for x
    x = 14,799,469,039.31/138,086.19
  6. Step 6: Final answer
    x = 107,175.59

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1.5x scale

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.