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Finding the Fourth Proportional to 120,224.76, 165,915.06 and 66,508.88

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Solution

The fourth proportional to 120,224.76, 165,915.06 and 66,508.88 is: 91,784.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,224.76 : 165,915.06 = 66,508.88 : x
  2. Step 2: Convert to fraction form
    120,224.76/165,915.06 = 66,508.88/x
  3. Step 3: Cross multiply
    120,224.76x = 165,915.06 × 66,508.88
  4. Step 4: Simplify right side
    120,224.76x = 11,034,824,815.73
  5. Step 5: Solve for x
    x = 11,034,824,815.73/120,224.76
  6. Step 6: Final answer
    x = 91,784.96

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1.5x scale

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.