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Finding the Fourth Proportional to 89,751.56, 123,857.16 and 52,047.68

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Solution

The fourth proportional to 89,751.56, 123,857.16 and 52,047.68 is: 71,825.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,751.56 : 123,857.16 = 52,047.68 : x
  2. Step 2: Convert to fraction form
    89,751.56/123,857.16 = 52,047.68/x
  3. Step 3: Cross multiply
    89,751.56x = 123,857.16 × 52,047.68
  4. Step 4: Simplify right side
    89,751.56x = 6,446,477,829.39
  5. Step 5: Solve for x
    x = 6,446,477,829.39/89,751.56
  6. Step 6: Final answer
    x = 71,825.80

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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.