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Finding the Fourth Proportional to 120,271.56, 165,978.32 and 66,561.68

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Solution

The fourth proportional to 120,271.56, 165,978.32 and 66,561.68 is: 91,857.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,271.56 : 165,978.32 = 66,561.68 : x
  2. Step 2: Convert to fraction form
    120,271.56/165,978.32 = 66,561.68/x
  3. Step 3: Cross multiply
    120,271.56x = 165,978.32 × 66,561.68
  4. Step 4: Simplify right side
    120,271.56x = 11,047,794,660.08
  5. Step 5: Solve for x
    x = 11,047,794,660.08/120,271.56
  6. Step 6: Final answer
    x = 91,857.08

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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.