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Finding the Fourth Proportional to 40,459.78, 55,858.42 and 35,971.11

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Solution

The fourth proportional to 40,459.78, 55,858.42 and 35,971.11 is: 49,661.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,459.78 : 55,858.42 = 35,971.11 : x
  2. Step 2: Convert to fraction form
    40,459.78/55,858.42 = 35,971.11/x
  3. Step 3: Cross multiply
    40,459.78x = 55,858.42 × 35,971.11
  4. Step 4: Simplify right side
    40,459.78x = 2,009,289,370.25
  5. Step 5: Solve for x
    x = 2,009,289,370.25/40,459.78
  6. Step 6: Final answer
    x = 49,661.40

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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.