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Finding the Fourth Proportional to 128,083, 192,125.58 and 44,977

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Solution

The fourth proportional to 128,083, 192,125.58 and 44,977 is: 67,465.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,083 : 192,125.58 = 44,977 : x
  2. Step 2: Convert to fraction form
    128,083/192,125.58 = 44,977/x
  3. Step 3: Cross multiply
    128,083x = 192,125.58 × 44,977
  4. Step 4: Simplify right side
    128,083x = 8,641,232,211.66
  5. Step 5: Solve for x
    x = 8,641,232,211.66/128,083
  6. Step 6: Final answer
    x = 67,465.88

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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.