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Finding the Fourth Proportional to 89,046, 122,883.48 and 51,322.68

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Solution

The fourth proportional to 89,046, 122,883.48 and 51,322.68 is: 70,825.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,046 : 122,883.48 = 51,322.68 : x
  2. Step 2: Convert to fraction form
    89,046/122,883.48 = 51,322.68/x
  3. Step 3: Cross multiply
    89,046x = 122,883.48 × 51,322.68
  4. Step 4: Simplify right side
    89,046x = 6,306,709,521.33
  5. Step 5: Solve for x
    x = 6,306,709,521.33/89,046
  6. Step 6: Final answer
    x = 70,825.30

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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.