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Finding the Fourth Proportional to 153,478.32, 211,771.98 and 85,493.61

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Solution

The fourth proportional to 153,478.32, 211,771.98 and 85,493.61 is: 117,965.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,478.32 : 211,771.98 = 85,493.61 : x
  2. Step 2: Convert to fraction form
    153,478.32/211,771.98 = 85,493.61/x
  3. Step 3: Cross multiply
    153,478.32x = 211,771.98 × 85,493.61
  4. Step 4: Simplify right side
    153,478.32x = 18,105,151,067.05
  5. Step 5: Solve for x
    x = 18,105,151,067.05/153,478.32
  6. Step 6: Final answer
    x = 117,965.53

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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.