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Finding the Fourth Proportional to 153,481.68, 211,785.84 and 85,482

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Solution

The fourth proportional to 153,481.68, 211,785.84 and 85,482 is: 117,954.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,481.68 : 211,785.84 = 85,482 : x
  2. Step 2: Convert to fraction form
    153,481.68/211,785.84 = 85,482/x
  3. Step 3: Cross multiply
    153,481.68x = 211,785.84 × 85,482
  4. Step 4: Simplify right side
    153,481.68x = 18,103,877,174.88
  5. Step 5: Solve for x
    x = 18,103,877,174.88/153,481.68
  6. Step 6: Final answer
    x = 117,954.65

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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.