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Finding the Fourth Proportional to 119,672.44, 165,145.80 and 65,225.08

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Solution

The fourth proportional to 119,672.44, 165,145.80 and 65,225.08 is: 90,009.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,672.44 : 165,145.80 = 65,225.08 : x
  2. Step 2: Convert to fraction form
    119,672.44/165,145.80 = 65,225.08/x
  3. Step 3: Cross multiply
    119,672.44x = 165,145.80 × 65,225.08
  4. Step 4: Simplify right side
    119,672.44x = 10,771,648,016.66
  5. Step 5: Solve for x
    x = 10,771,648,016.66/119,672.44
  6. Step 6: Final answer
    x = 90,009.43

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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.