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Finding the Fourth Proportional to 165,804, 248,955.12 and 99,540.60

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Solution

The fourth proportional to 165,804, 248,955.12 and 99,540.60 is: 149,460.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,804 : 248,955.12 = 99,540.60 : x
  2. Step 2: Convert to fraction form
    165,804/248,955.12 = 99,540.60/x
  3. Step 3: Cross multiply
    165,804x = 248,955.12 × 99,540.60
  4. Step 4: Simplify right side
    165,804x = 24,781,142,017.87
  5. Step 5: Solve for x
    x = 24,781,142,017.87/165,804
  6. Step 6: Final answer
    x = 149,460.46

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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.