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Finding the Fourth Proportional to 85,729.74, 119,019.71 and 83,163.66

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Solution

The fourth proportional to 85,729.74, 119,019.71 and 83,163.66 is: 115,457.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,729.74 : 119,019.71 = 83,163.66 : x
  2. Step 2: Convert to fraction form
    85,729.74/119,019.71 = 83,163.66/x
  3. Step 3: Cross multiply
    85,729.74x = 119,019.71 × 83,163.66
  4. Step 4: Simplify right side
    85,729.74x = 9,898,114,279.92
  5. Step 5: Solve for x
    x = 9,898,114,279.92/85,729.74
  6. Step 6: Final answer
    x = 115,457.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.