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Finding the Fourth Proportional to 165,645.80, 248,541.60 and 76,853.60

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Solution

The fourth proportional to 165,645.80, 248,541.60 and 76,853.60 is: 115,314.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,645.80 : 248,541.60 = 76,853.60 : x
  2. Step 2: Convert to fraction form
    165,645.80/248,541.60 = 76,853.60/x
  3. Step 3: Cross multiply
    165,645.80x = 248,541.60 × 76,853.60
  4. Step 4: Simplify right side
    165,645.80x = 19,101,316,709.76
  5. Step 5: Solve for x
    x = 19,101,316,709.76/165,645.80
  6. Step 6: Final answer
    x = 115,314.22

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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.