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Finding the Fourth Proportional to 153,609, 211,977.38 and 85,621.92

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Solution

The fourth proportional to 153,609, 211,977.38 and 85,621.92 is: 118,156.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,609 : 211,977.38 = 85,621.92 : x
  2. Step 2: Convert to fraction form
    153,609/211,977.38 = 85,621.92/x
  3. Step 3: Cross multiply
    153,609x = 211,977.38 × 85,621.92
  4. Step 4: Simplify right side
    153,609x = 18,149,910,272.17
  5. Step 5: Solve for x
    x = 18,149,910,272.17/153,609
  6. Step 6: Final answer
    x = 118,156.56

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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.