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Finding the Fourth Proportional to 120,009.24, 165,612.06 and 66,294

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Solution

The fourth proportional to 120,009.24, 165,612.06 and 66,294 is: 91,485.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,009.24 : 165,612.06 = 66,294 : x
  2. Step 2: Convert to fraction form
    120,009.24/165,612.06 = 66,294/x
  3. Step 3: Cross multiply
    120,009.24x = 165,612.06 × 66,294
  4. Step 4: Simplify right side
    120,009.24x = 10,979,085,905.64
  5. Step 5: Solve for x
    x = 10,979,085,905.64/120,009.24
  6. Step 6: Final answer
    x = 91,485.34

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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.