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Finding the Fourth Proportional to 156,965.46, 216,606.36 and 85,345.54

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Solution

The fourth proportional to 156,965.46, 216,606.36 and 85,345.54 is: 117,773.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,965.46 : 216,606.36 = 85,345.54 : x
  2. Step 2: Convert to fraction form
    156,965.46/216,606.36 = 85,345.54/x
  3. Step 3: Cross multiply
    156,965.46x = 216,606.36 × 85,345.54
  4. Step 4: Simplify right side
    156,965.46x = 18,486,386,006.75
  5. Step 5: Solve for x
    x = 18,486,386,006.75/156,965.46
  6. Step 6: Final answer
    x = 117,773.59

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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.