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Finding the Fourth Proportional to 73,165.64, 109,731.42 and 20,580.20

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Solution

The fourth proportional to 73,165.64, 109,731.42 and 20,580.20 is: 30,865.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,165.64 : 109,731.42 = 20,580.20 : x
  2. Step 2: Convert to fraction form
    73,165.64/109,731.42 = 20,580.20/x
  3. Step 3: Cross multiply
    73,165.64x = 109,731.42 × 20,580.20
  4. Step 4: Simplify right side
    73,165.64x = 2,258,294,569.88
  5. Step 5: Solve for x
    x = 2,258,294,569.88/73,165.64
  6. Step 6: Final answer
    x = 30,865.51

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1.5x scale

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.