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Finding the Fourth Proportional to 138,344.08, 190,912.80 and 77,914.84

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Solution

The fourth proportional to 138,344.08, 190,912.80 and 77,914.84 is: 107,521.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,344.08 : 190,912.80 = 77,914.84 : x
  2. Step 2: Convert to fraction form
    138,344.08/190,912.80 = 77,914.84/x
  3. Step 3: Cross multiply
    138,344.08x = 190,912.80 × 77,914.84
  4. Step 4: Simplify right side
    138,344.08x = 14,874,940,265.95
  5. Step 5: Solve for x
    x = 14,874,940,265.95/138,344.08
  6. Step 6: Final answer
    x = 107,521.34

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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.