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Finding the Fourth Proportional to 119,705.94, 165,194.64 and 65,257.80

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Solution

The fourth proportional to 119,705.94, 165,194.64 and 65,257.80 is: 90,056.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,705.94 : 165,194.64 = 65,257.80 : x
  2. Step 2: Convert to fraction form
    119,705.94/165,194.64 = 65,257.80/x
  3. Step 3: Cross multiply
    119,705.94x = 165,194.64 × 65,257.80
  4. Step 4: Simplify right side
    119,705.94x = 10,780,238,778.19
  5. Step 5: Solve for x
    x = 10,780,238,778.19/119,705.94
  6. Step 6: Final answer
    x = 90,056.01

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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.