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Finding the Fourth Proportional to 82,561.67, 113,969.99 and 55,740.51

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Solution

The fourth proportional to 82,561.67, 113,969.99 and 55,740.51 is: 76,945.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,561.67 : 113,969.99 = 55,740.51 : x
  2. Step 2: Convert to fraction form
    82,561.67/113,969.99 = 55,740.51/x
  3. Step 3: Cross multiply
    82,561.67x = 113,969.99 × 55,740.51
  4. Step 4: Simplify right side
    82,561.67x = 6,352,745,193.11
  5. Step 5: Solve for x
    x = 6,352,745,193.11/82,561.67
  6. Step 6: Final answer
    x = 76,945.46

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1.5x scale

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.