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Finding the Fourth Proportional to 123,754.51, 170,780.22 and 67,165.90

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Solution

The fourth proportional to 123,754.51, 170,780.22 and 67,165.90 is: 92,688.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,754.51 : 170,780.22 = 67,165.90 : x
  2. Step 2: Convert to fraction form
    123,754.51/170,780.22 = 67,165.90/x
  3. Step 3: Cross multiply
    123,754.51x = 170,780.22 × 67,165.90
  4. Step 4: Simplify right side
    123,754.51x = 11,470,607,178.50
  5. Step 5: Solve for x
    x = 11,470,607,178.50/123,754.51
  6. Step 6: Final answer
    x = 92,688.40

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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.