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Finding the Fourth Proportional to 119,783.49, 165,302 and 66,069.96

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Solution

The fourth proportional to 119,783.49, 165,302 and 66,069.96 is: 91,176.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,783.49 : 165,302 = 66,069.96 : x
  2. Step 2: Convert to fraction form
    119,783.49/165,302 = 66,069.96/x
  3. Step 3: Cross multiply
    119,783.49x = 165,302 × 66,069.96
  4. Step 4: Simplify right side
    119,783.49x = 10,921,496,527.92
  5. Step 5: Solve for x
    x = 10,921,496,527.92/119,783.49
  6. Step 6: Final answer
    x = 91,176.98

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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.