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Finding the Fourth Proportional to 70,885.64, 106,342.44 and 20,285.14

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Solution

The fourth proportional to 70,885.64, 106,342.44 and 20,285.14 is: 30,431.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,885.64 : 106,342.44 = 20,285.14 : x
  2. Step 2: Convert to fraction form
    70,885.64/106,342.44 = 20,285.14/x
  3. Step 3: Cross multiply
    70,885.64x = 106,342.44 × 20,285.14
  4. Step 4: Simplify right side
    70,885.64x = 2,157,171,283.34
  5. Step 5: Solve for x
    x = 2,157,171,283.34/70,885.64
  6. Step 6: Final answer
    x = 30,431.71

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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.