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Finding the Fourth Proportional to 51,484, 71,047.44 and 29,128

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Solution

The fourth proportional to 51,484, 71,047.44 and 29,128 is: 40,196.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,484 : 71,047.44 = 29,128 : x
  2. Step 2: Convert to fraction form
    51,484/71,047.44 = 29,128/x
  3. Step 3: Cross multiply
    51,484x = 71,047.44 × 29,128
  4. Step 4: Simplify right side
    51,484x = 2,069,469,832.32
  5. Step 5: Solve for x
    x = 2,069,469,832.32/51,484
  6. Step 6: Final answer
    x = 40,196.37

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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.