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Finding the Fourth Proportional to 128,429.10, 192,643.65 and 81,189.90

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Solution

The fourth proportional to 128,429.10, 192,643.65 and 81,189.90 is: 121,784.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,429.10 : 192,643.65 = 81,189.90 : x
  2. Step 2: Convert to fraction form
    128,429.10/192,643.65 = 81,189.90/x
  3. Step 3: Cross multiply
    128,429.10x = 192,643.65 × 81,189.90
  4. Step 4: Simplify right side
    128,429.10x = 15,640,718,679.14
  5. Step 5: Solve for x
    x = 15,640,718,679.14/128,429.10
  6. Step 6: Final answer
    x = 121,784.85

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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.