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Finding the Fourth Proportional to 157,299.98, 217,072.86 and 85,679.78

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Solution

The fourth proportional to 157,299.98, 217,072.86 and 85,679.78 is: 118,237.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,299.98 : 217,072.86 = 85,679.78 : x
  2. Step 2: Convert to fraction form
    157,299.98/217,072.86 = 85,679.78/x
  3. Step 3: Cross multiply
    157,299.98x = 217,072.86 × 85,679.78
  4. Step 4: Simplify right side
    157,299.98x = 18,598,754,888.77
  5. Step 5: Solve for x
    x = 18,598,754,888.77/157,299.98
  6. Step 6: Final answer
    x = 118,237.49

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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.