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Finding the Fourth Proportional to 157,896.04, 217,896.58 and 85,298.96

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Solution

The fourth proportional to 157,896.04, 217,896.58 and 85,298.96 is: 117,712.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,896.04 : 217,896.58 = 85,298.96 : x
  2. Step 2: Convert to fraction form
    157,896.04/217,896.58 = 85,298.96/x
  3. Step 3: Cross multiply
    157,896.04x = 217,896.58 × 85,298.96
  4. Step 4: Simplify right side
    157,896.04x = 18,586,351,661.56
  5. Step 5: Solve for x
    x = 18,586,351,661.56/157,896.04
  6. Step 6: Final answer
    x = 117,712.59

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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.