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Finding the Fourth Proportional to 137,982, 190,415.34 and 78,366

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Solution

The fourth proportional to 137,982, 190,415.34 and 78,366 is: 108,145.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,982 : 190,415.34 = 78,366 : x
  2. Step 2: Convert to fraction form
    137,982/190,415.34 = 78,366/x
  3. Step 3: Cross multiply
    137,982x = 190,415.34 × 78,366
  4. Step 4: Simplify right side
    137,982x = 14,922,088,534.44
  5. Step 5: Solve for x
    x = 14,922,088,534.44/137,982
  6. Step 6: Final answer
    x = 108,145.18

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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.