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Finding the Fourth Proportional to 165,744.40, 248,616.60 and 120,643.60

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Solution

The fourth proportional to 165,744.40, 248,616.60 and 120,643.60 is: 180,965.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,744.40 : 248,616.60 = 120,643.60 : x
  2. Step 2: Convert to fraction form
    165,744.40/248,616.60 = 120,643.60/x
  3. Step 3: Cross multiply
    165,744.40x = 248,616.60 × 120,643.60
  4. Step 4: Simplify right side
    165,744.40x = 29,994,001,643.76
  5. Step 5: Solve for x
    x = 29,994,001,643.76/165,744.40
  6. Step 6: Final answer
    x = 180,965.40

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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.