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Finding the Fourth Proportional to 157,404.30, 217,211.59 and 85,782.78

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Solution

The fourth proportional to 157,404.30, 217,211.59 and 85,782.78 is: 118,376.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,404.30 : 217,211.59 = 85,782.78 : x
  2. Step 2: Convert to fraction form
    157,404.30/217,211.59 = 85,782.78/x
  3. Step 3: Cross multiply
    157,404.30x = 217,211.59 × 85,782.78
  4. Step 4: Simplify right side
    157,404.30x = 18,633,014,038.42
  5. Step 5: Solve for x
    x = 18,633,014,038.42/157,404.30
  6. Step 6: Final answer
    x = 118,376.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.