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Finding the Fourth Proportional to 119,003.74, 164,235.78 and 65,299.21

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Solution

The fourth proportional to 119,003.74, 164,235.78 and 65,299.21 is: 90,118.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,003.74 : 164,235.78 = 65,299.21 : x
  2. Step 2: Convert to fraction form
    119,003.74/164,235.78 = 65,299.21/x
  3. Step 3: Cross multiply
    119,003.74x = 164,235.78 × 65,299.21
  4. Step 4: Simplify right side
    119,003.74x = 10,724,466,277.14
  5. Step 5: Solve for x
    x = 10,724,466,277.14/119,003.74
  6. Step 6: Final answer
    x = 90,118.73

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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.