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Finding the Fourth Proportional to 180,159.88, 270,253.86 and 105,287.80

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Solution

The fourth proportional to 180,159.88, 270,253.86 and 105,287.80 is: 157,939.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,159.88 : 270,253.86 = 105,287.80 : x
  2. Step 2: Convert to fraction form
    180,159.88/270,253.86 = 105,287.80/x
  3. Step 3: Cross multiply
    180,159.88x = 270,253.86 × 105,287.80
  4. Step 4: Simplify right side
    180,159.88x = 28,454,434,360.91
  5. Step 5: Solve for x
    x = 28,454,434,360.91/180,159.88
  6. Step 6: Final answer
    x = 157,939.91

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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.