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Finding the Fourth Proportional to 119,351.86, 164,709.80 and 65,641.03

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Solution

The fourth proportional to 119,351.86, 164,709.80 and 65,641.03 is: 90,586.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,351.86 : 164,709.80 = 65,641.03 : x
  2. Step 2: Convert to fraction form
    119,351.86/164,709.80 = 65,641.03/x
  3. Step 3: Cross multiply
    119,351.86x = 164,709.80 × 65,641.03
  4. Step 4: Simplify right side
    119,351.86x = 10,811,720,923.09
  5. Step 5: Solve for x
    x = 10,811,720,923.09/119,351.86
  6. Step 6: Final answer
    x = 90,586.95

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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.