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Finding the Fourth Proportional to 119,783.25, 165,301.65 and 66,069.72

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Solution

The fourth proportional to 119,783.25, 165,301.65 and 66,069.72 is: 91,176.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,783.25 : 165,301.65 = 66,069.72 : x
  2. Step 2: Convert to fraction form
    119,783.25/165,301.65 = 66,069.72/x
  3. Step 3: Cross multiply
    119,783.25x = 165,301.65 × 66,069.72
  4. Step 4: Simplify right side
    119,783.25x = 10,921,433,731.04
  5. Step 5: Solve for x
    x = 10,921,433,731.04/119,783.25
  6. Step 6: Final answer
    x = 91,176.64

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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.