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Finding the Fourth Proportional to 144,959.20, 200,045.15 and 81,295.63

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Solution

The fourth proportional to 144,959.20, 200,045.15 and 81,295.63 is: 112,188.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,959.20 : 200,045.15 = 81,295.63 : x
  2. Step 2: Convert to fraction form
    144,959.20/200,045.15 = 81,295.63/x
  3. Step 3: Cross multiply
    144,959.20x = 200,045.15 × 81,295.63
  4. Step 4: Simplify right side
    144,959.20x = 16,262,796,497.69
  5. Step 5: Solve for x
    x = 16,262,796,497.69/144,959.20
  6. Step 6: Final answer
    x = 112,188.78

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1.5x scale

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.