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Finding the Fourth Proportional to 89,428, 123,410.64 and 51,704.68

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Solution

The fourth proportional to 89,428, 123,410.64 and 51,704.68 is: 71,352.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,428 : 123,410.64 = 51,704.68 : x
  2. Step 2: Convert to fraction form
    89,428/123,410.64 = 51,704.68/x
  3. Step 3: Cross multiply
    89,428x = 123,410.64 × 51,704.68
  4. Step 4: Simplify right side
    89,428x = 6,380,907,649.80
  5. Step 5: Solve for x
    x = 6,380,907,649.80/89,428
  6. Step 6: Final answer
    x = 71,352.46

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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.