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Finding the Fourth Proportional to 120,277.63, 165,980.64 and 66,559.45

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Solution

The fourth proportional to 120,277.63, 165,980.64 and 66,559.45 is: 91,850.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,277.63 : 165,980.64 = 66,559.45 : x
  2. Step 2: Convert to fraction form
    120,277.63/165,980.64 = 66,559.45/x
  3. Step 3: Cross multiply
    120,277.63x = 165,980.64 × 66,559.45
  4. Step 4: Simplify right side
    120,277.63x = 11,047,580,109.05
  5. Step 5: Solve for x
    x = 11,047,580,109.05/120,277.63
  6. Step 6: Final answer
    x = 91,850.66

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1.5x scale

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.