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Finding the Fourth Proportional to 119,858.54, 165,408.15 and 66,146.94

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Solution

The fourth proportional to 119,858.54, 165,408.15 and 66,146.94 is: 91,284.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,858.54 : 165,408.15 = 66,146.94 : x
  2. Step 2: Convert to fraction form
    119,858.54/165,408.15 = 66,146.94/x
  3. Step 3: Cross multiply
    119,858.54x = 165,408.15 × 66,146.94
  4. Step 4: Simplify right side
    119,858.54x = 10,941,242,849.54
  5. Step 5: Solve for x
    x = 10,941,242,849.54/119,858.54
  6. Step 6: Final answer
    x = 91,284.64

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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.