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Finding the Fourth Proportional to 57,776.75, 86,665.14 and 20,840.75

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Solution

The fourth proportional to 57,776.75, 86,665.14 and 20,840.75 is: 31,261.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,776.75 : 86,665.14 = 20,840.75 : x
  2. Step 2: Convert to fraction form
    57,776.75/86,665.14 = 20,840.75/x
  3. Step 3: Cross multiply
    57,776.75x = 86,665.14 × 20,840.75
  4. Step 4: Simplify right side
    57,776.75x = 1,806,166,516.46
  5. Step 5: Solve for x
    x = 1,806,166,516.46/57,776.75
  6. Step 6: Final answer
    x = 31,261.13

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1.5x scale

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.