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Finding the Fourth Proportional to 195,997.40, 294,149.70 and 90,829.40

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Solution

The fourth proportional to 195,997.40, 294,149.70 and 90,829.40 is: 136,315.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,997.40 : 294,149.70 = 90,829.40 : x
  2. Step 2: Convert to fraction form
    195,997.40/294,149.70 = 90,829.40/x
  3. Step 3: Cross multiply
    195,997.40x = 294,149.70 × 90,829.40
  4. Step 4: Simplify right side
    195,997.40x = 26,717,440,761.18
  5. Step 5: Solve for x
    x = 26,717,440,761.18/195,997.40
  6. Step 6: Final answer
    x = 136,315.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.