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Finding the Fourth Proportional to 57,756.78, 86,618.16 and 20,309.94

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Solution

The fourth proportional to 57,756.78, 86,618.16 and 20,309.94 is: 30,458.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,756.78 : 86,618.16 = 20,309.94 : x
  2. Step 2: Convert to fraction form
    57,756.78/86,618.16 = 20,309.94/x
  3. Step 3: Cross multiply
    57,756.78x = 86,618.16 × 20,309.94
  4. Step 4: Simplify right side
    57,756.78x = 1,759,209,632.51
  5. Step 5: Solve for x
    x = 1,759,209,632.51/57,756.78
  6. Step 6: Final answer
    x = 30,458.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.