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Finding the Fourth Proportional to 157,410.72, 217,229.31 and 85,790.79

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Solution

The fourth proportional to 157,410.72, 217,229.31 and 85,790.79 is: 118,392.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,410.72 : 217,229.31 = 85,790.79 : x
  2. Step 2: Convert to fraction form
    157,410.72/217,229.31 = 85,790.79/x
  3. Step 3: Cross multiply
    157,410.72x = 217,229.31 × 85,790.79
  4. Step 4: Simplify right side
    157,410.72x = 18,636,274,116.05
  5. Step 5: Solve for x
    x = 18,636,274,116.05/157,410.72
  6. Step 6: Final answer
    x = 118,392.66

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1.5x scale

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.