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Finding the Fourth Proportional to 153,899.68, 212,392.24 and 85,930

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Solution

The fourth proportional to 153,899.68, 212,392.24 and 85,930 is: 118,589.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,899.68 : 212,392.24 = 85,930 : x
  2. Step 2: Convert to fraction form
    153,899.68/212,392.24 = 85,930/x
  3. Step 3: Cross multiply
    153,899.68x = 212,392.24 × 85,930
  4. Step 4: Simplify right side
    153,899.68x = 18,250,865,183.20
  5. Step 5: Solve for x
    x = 18,250,865,183.20/153,899.68
  6. Step 6: Final answer
    x = 118,589.36

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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.