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Finding the Fourth Proportional to 156,896.61, 216,518.09 and 85,278.03

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Solution

The fourth proportional to 156,896.61, 216,518.09 and 85,278.03 is: 117,684.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,896.61 : 216,518.09 = 85,278.03 : x
  2. Step 2: Convert to fraction form
    156,896.61/216,518.09 = 85,278.03/x
  3. Step 3: Cross multiply
    156,896.61x = 216,518.09 × 85,278.03
  4. Step 4: Simplify right side
    156,896.61x = 18,464,236,174.56
  5. Step 5: Solve for x
    x = 18,464,236,174.56/156,896.61
  6. Step 6: Final answer
    x = 117,684.10

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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.