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Finding the Fourth Proportional to 128,184.66, 192,318.03 and 61,629.66

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Solution

The fourth proportional to 128,184.66, 192,318.03 and 61,629.66 is: 92,464.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,184.66 : 192,318.03 = 61,629.66 : x
  2. Step 2: Convert to fraction form
    128,184.66/192,318.03 = 61,629.66/x
  3. Step 3: Cross multiply
    128,184.66x = 192,318.03 × 61,629.66
  4. Step 4: Simplify right side
    128,184.66x = 11,852,494,800.77
  5. Step 5: Solve for x
    x = 11,852,494,800.77/128,184.66
  6. Step 6: Final answer
    x = 92,464.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.