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Finding the Fourth Proportional to 157,380.84, 217,185.84 and 85,761.18

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Solution

The fourth proportional to 157,380.84, 217,185.84 and 85,761.18 is: 118,350.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,380.84 : 217,185.84 = 85,761.18 : x
  2. Step 2: Convert to fraction form
    157,380.84/217,185.84 = 85,761.18/x
  3. Step 3: Cross multiply
    157,380.84x = 217,185.84 × 85,761.18
  4. Step 4: Simplify right side
    157,380.84x = 18,626,113,917.69
  5. Step 5: Solve for x
    x = 18,626,113,917.69/157,380.84
  6. Step 6: Final answer
    x = 118,350.58

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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.