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Finding the Fourth Proportional to 119,570, 165,014.09 and 65,855

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Solution

The fourth proportional to 119,570, 165,014.09 and 65,855 is: 90,884.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,570 : 165,014.09 = 65,855 : x
  2. Step 2: Convert to fraction form
    119,570/165,014.09 = 65,855/x
  3. Step 3: Cross multiply
    119,570x = 165,014.09 × 65,855
  4. Step 4: Simplify right side
    119,570x = 10,867,002,567.68
  5. Step 5: Solve for x
    x = 10,867,002,567.68/119,570
  6. Step 6: Final answer
    x = 90,884.02

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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.