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Finding the Fourth Proportional to 153,499.73, 211,836.16 and 85,516.66

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Solution

The fourth proportional to 153,499.73, 211,836.16 and 85,516.66 is: 118,016.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,499.73 : 211,836.16 = 85,516.66 : x
  2. Step 2: Convert to fraction form
    153,499.73/211,836.16 = 85,516.66/x
  3. Step 3: Cross multiply
    153,499.73x = 211,836.16 × 85,516.66
  4. Step 4: Simplify right side
    153,499.73x = 18,115,520,870.43
  5. Step 5: Solve for x
    x = 18,115,520,870.43/153,499.73
  6. Step 6: Final answer
    x = 118,016.63

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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.