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Finding the Fourth Proportional to 199,901.94, 275,838.12 and 128,378.85

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Solution

The fourth proportional to 199,901.94, 275,838.12 and 128,378.85 is: 177,145.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,901.94 : 275,838.12 = 128,378.85 : x
  2. Step 2: Convert to fraction form
    199,901.94/275,838.12 = 128,378.85/x
  3. Step 3: Cross multiply
    199,901.94x = 275,838.12 × 128,378.85
  4. Step 4: Simplify right side
    199,901.94x = 35,411,780,631.76
  5. Step 5: Solve for x
    x = 35,411,780,631.76/199,901.94
  6. Step 6: Final answer
    x = 177,145.76

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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.