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Finding the Fourth Proportional to 153,243.86, 211,471.17 and 85,258.58

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Solution

The fourth proportional to 153,243.86, 211,471.17 and 85,258.58 is: 117,653.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,243.86 : 211,471.17 = 85,258.58 : x
  2. Step 2: Convert to fraction form
    153,243.86/211,471.17 = 85,258.58/x
  3. Step 3: Cross multiply
    153,243.86x = 211,471.17 × 85,258.58
  4. Step 4: Simplify right side
    153,243.86x = 18,029,731,665.14
  5. Step 5: Solve for x
    x = 18,029,731,665.14/153,243.86
  6. Step 6: Final answer
    x = 117,653.86

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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.