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Finding the Fourth Proportional to 138,163.55, 190,652.11 and 77,732.90

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Solution

The fourth proportional to 138,163.55, 190,652.11 and 77,732.90 is: 107,263.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,163.55 : 190,652.11 = 77,732.90 : x
  2. Step 2: Convert to fraction form
    138,163.55/190,652.11 = 77,732.90/x
  3. Step 3: Cross multiply
    138,163.55x = 190,652.11 × 77,732.90
  4. Step 4: Simplify right side
    138,163.55x = 14,819,940,448.16
  5. Step 5: Solve for x
    x = 14,819,940,448.16/138,163.55
  6. Step 6: Final answer
    x = 107,263.75

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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.