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Finding the Fourth Proportional to 130,785.84, 180,568.44 and 80,514

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Solution

The fourth proportional to 130,785.84, 180,568.44 and 80,514 is: 111,161.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,785.84 : 180,568.44 = 80,514 : x
  2. Step 2: Convert to fraction form
    130,785.84/180,568.44 = 80,514/x
  3. Step 3: Cross multiply
    130,785.84x = 180,568.44 × 80,514
  4. Step 4: Simplify right side
    130,785.84x = 14,538,287,378.16
  5. Step 5: Solve for x
    x = 14,538,287,378.16/130,785.84
  6. Step 6: Final answer
    x = 111,161.02

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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.