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Finding the Fourth Proportional to 57,294.56, 85,946.43 and 21,772.91

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Solution

The fourth proportional to 57,294.56, 85,946.43 and 21,772.91 is: 32,661.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,294.56 : 85,946.43 = 21,772.91 : x
  2. Step 2: Convert to fraction form
    57,294.56/85,946.43 = 21,772.91/x
  3. Step 3: Cross multiply
    57,294.56x = 85,946.43 × 21,772.91
  4. Step 4: Simplify right side
    57,294.56x = 1,871,303,455.48
  5. Step 5: Solve for x
    x = 1,871,303,455.48/57,294.56
  6. Step 6: Final answer
    x = 32,661.10

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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.