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Finding the Fourth Proportional to 157,404.56, 217,211.94 and 85,783.02

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Solution

The fourth proportional to 157,404.56, 217,211.94 and 85,783.02 is: 118,377.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,404.56 : 217,211.94 = 85,783.02 : x
  2. Step 2: Convert to fraction form
    157,404.56/217,211.94 = 85,783.02/x
  3. Step 3: Cross multiply
    157,404.56x = 217,211.94 × 85,783.02
  4. Step 4: Simplify right side
    157,404.56x = 18,633,096,193.26
  5. Step 5: Solve for x
    x = 18,633,096,193.26/157,404.56
  6. Step 6: Final answer
    x = 118,377.11

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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.