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Finding the Fourth Proportional to 157,406.98, 217,215.29 and 85,785.46

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Solution

The fourth proportional to 157,406.98, 217,215.29 and 85,785.46 is: 118,380.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,406.98 : 217,215.29 = 85,785.46 : x
  2. Step 2: Convert to fraction form
    157,406.98/217,215.29 = 85,785.46/x
  3. Step 3: Cross multiply
    157,406.98x = 217,215.29 × 85,785.46
  4. Step 4: Simplify right side
    157,406.98x = 18,633,912,485.61
  5. Step 5: Solve for x
    x = 18,633,912,485.61/157,406.98
  6. Step 6: Final answer
    x = 118,380.48

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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.