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Finding the Fourth Proportional to 281,608.72, 422,440.80 and 81,931.12

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Solution

The fourth proportional to 281,608.72, 422,440.80 and 81,931.12 is: 122,904.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,608.72 : 422,440.80 = 81,931.12 : x
  2. Step 2: Convert to fraction form
    281,608.72/422,440.80 = 81,931.12/x
  3. Step 3: Cross multiply
    281,608.72x = 422,440.80 × 81,931.12
  4. Step 4: Simplify right side
    281,608.72x = 34,611,047,877.70
  5. Step 5: Solve for x
    x = 34,611,047,877.70/281,608.72
  6. Step 6: Final answer
    x = 122,904.74

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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.