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Finding the Fourth Proportional to 57,471.48, 86,178.06 and 26,280

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Solution

The fourth proportional to 57,471.48, 86,178.06 and 26,280 is: 39,406.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,471.48 : 86,178.06 = 26,280 : x
  2. Step 2: Convert to fraction form
    57,471.48/86,178.06 = 26,280/x
  3. Step 3: Cross multiply
    57,471.48x = 86,178.06 × 26,280
  4. Step 4: Simplify right side
    57,471.48x = 2,264,759,416.80
  5. Step 5: Solve for x
    x = 2,264,759,416.80/57,471.48
  6. Step 6: Final answer
    x = 39,406.67

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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.