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Finding the Fourth Proportional to 119,686.14, 165,164.64 and 65,238.81

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Solution

The fourth proportional to 119,686.14, 165,164.64 and 65,238.81 is: 90,028.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,686.14 : 165,164.64 = 65,238.81 : x
  2. Step 2: Convert to fraction form
    119,686.14/165,164.64 = 65,238.81/x
  3. Step 3: Cross multiply
    119,686.14x = 165,164.64 × 65,238.81
  4. Step 4: Simplify right side
    119,686.14x = 10,775,144,567.68
  5. Step 5: Solve for x
    x = 10,775,144,567.68/119,686.14
  6. Step 6: Final answer
    x = 90,028.34

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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.