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Finding the Fourth Proportional to 150,754.32, 208,032.84 and 83,682

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Solution

The fourth proportional to 150,754.32, 208,032.84 and 83,682 is: 115,476.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,754.32 : 208,032.84 = 83,682 : x
  2. Step 2: Convert to fraction form
    150,754.32/208,032.84 = 83,682/x
  3. Step 3: Cross multiply
    150,754.32x = 208,032.84 × 83,682
  4. Step 4: Simplify right side
    150,754.32x = 17,408,604,116.88
  5. Step 5: Solve for x
    x = 17,408,604,116.88/150,754.32
  6. Step 6: Final answer
    x = 115,476.65

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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.