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Finding the Fourth Proportional to 119,855.51, 165,401.09 and 66,142.08

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Solution

The fourth proportional to 119,855.51, 165,401.09 and 66,142.08 is: 91,276.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,855.51 : 165,401.09 = 66,142.08 : x
  2. Step 2: Convert to fraction form
    119,855.51/165,401.09 = 66,142.08/x
  3. Step 3: Cross multiply
    119,855.51x = 165,401.09 × 66,142.08
  4. Step 4: Simplify right side
    119,855.51x = 10,939,972,126.87
  5. Step 5: Solve for x
    x = 10,939,972,126.87/119,855.51
  6. Step 6: Final answer
    x = 91,276.34

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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.