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Finding the Fourth Proportional to 110,309.60, 165,464.40 and 65,986.40

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Solution

The fourth proportional to 110,309.60, 165,464.40 and 65,986.40 is: 98,979.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,309.60 : 165,464.40 = 65,986.40 : x
  2. Step 2: Convert to fraction form
    110,309.60/165,464.40 = 65,986.40/x
  3. Step 3: Cross multiply
    110,309.60x = 165,464.40 × 65,986.40
  4. Step 4: Simplify right side
    110,309.60x = 10,918,400,084.16
  5. Step 5: Solve for x
    x = 10,918,400,084.16/110,309.60
  6. Step 6: Final answer
    x = 98,979.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.