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Finding the Fourth Proportional to 152,992.40, 211,129.34 and 85,015.71

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Solution

The fourth proportional to 152,992.40, 211,129.34 and 85,015.71 is: 117,321.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,992.40 : 211,129.34 = 85,015.71 : x
  2. Step 2: Convert to fraction form
    152,992.40/211,129.34 = 85,015.71/x
  3. Step 3: Cross multiply
    152,992.40x = 211,129.34 × 85,015.71
  4. Step 4: Simplify right side
    152,992.40x = 17,949,310,316.85
  5. Step 5: Solve for x
    x = 17,949,310,316.85/152,992.40
  6. Step 6: Final answer
    x = 117,321.59

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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.