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Finding the Fourth Proportional to 57,126, 85,744.40 and 27,564.60

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Solution

The fourth proportional to 57,126, 85,744.40 and 27,564.60 is: 41,373.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,126 : 85,744.40 = 27,564.60 : x
  2. Step 2: Convert to fraction form
    57,126/85,744.40 = 27,564.60/x
  3. Step 3: Cross multiply
    57,126x = 85,744.40 × 27,564.60
  4. Step 4: Simplify right side
    57,126x = 2,363,510,088.24
  5. Step 5: Solve for x
    x = 2,363,510,088.24/57,126
  6. Step 6: Final answer
    x = 41,373.63

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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.