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Finding the Fourth Proportional to 51,072.64, 70,472.64 and 28,712.32

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Solution

The fourth proportional to 51,072.64, 70,472.64 and 28,712.32 is: 39,618.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,072.64 : 70,472.64 = 28,712.32 : x
  2. Step 2: Convert to fraction form
    51,072.64/70,472.64 = 28,712.32/x
  3. Step 3: Cross multiply
    51,072.64x = 70,472.64 × 28,712.32
  4. Step 4: Simplify right side
    51,072.64x = 2,023,432,990.92
  5. Step 5: Solve for x
    x = 2,023,432,990.92/51,072.64
  6. Step 6: Final answer
    x = 39,618.73

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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.