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Finding the Fourth Proportional to 165,412.40, 248,118.60 and 65,539.40

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Solution

The fourth proportional to 165,412.40, 248,118.60 and 65,539.40 is: 98,309.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,412.40 : 248,118.60 = 65,539.40 : x
  2. Step 2: Convert to fraction form
    165,412.40/248,118.60 = 65,539.40/x
  3. Step 3: Cross multiply
    165,412.40x = 248,118.60 × 65,539.40
  4. Step 4: Simplify right side
    165,412.40x = 16,261,544,172.84
  5. Step 5: Solve for x
    x = 16,261,544,172.84/165,412.40
  6. Step 6: Final answer
    x = 98,309.10

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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.