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Finding the Fourth Proportional to 51,328, 70,832.64 and 27,776

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Solution

The fourth proportional to 51,328, 70,832.64 and 27,776 is: 38,330.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,328 : 70,832.64 = 27,776 : x
  2. Step 2: Convert to fraction form
    51,328/70,832.64 = 27,776/x
  3. Step 3: Cross multiply
    51,328x = 70,832.64 × 27,776
  4. Step 4: Simplify right side
    51,328x = 1,967,447,408.64
  5. Step 5: Solve for x
    x = 1,967,447,408.64/51,328
  6. Step 6: Final answer
    x = 38,330.88

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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.