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Finding the Fourth Proportional to 117,782.25, 162,513.84 and 66,783.48

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Solution

The fourth proportional to 117,782.25, 162,513.84 and 66,783.48 is: 92,146.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,782.25 : 162,513.84 = 66,783.48 : x
  2. Step 2: Convert to fraction form
    117,782.25/162,513.84 = 66,783.48/x
  3. Step 3: Cross multiply
    117,782.25x = 162,513.84 × 66,783.48
  4. Step 4: Simplify right side
    117,782.25x = 10,853,239,783.36
  5. Step 5: Solve for x
    x = 10,853,239,783.36/117,782.25
  6. Step 6: Final answer
    x = 92,146.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.