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Finding the Fourth Proportional to 51,906.56, 77,856.60 and 20,719.40

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Solution

The fourth proportional to 51,906.56, 77,856.60 and 20,719.40 is: 31,077.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,906.56 : 77,856.60 = 20,719.40 : x
  2. Step 2: Convert to fraction form
    51,906.56/77,856.60 = 20,719.40/x
  3. Step 3: Cross multiply
    51,906.56x = 77,856.60 × 20,719.40
  4. Step 4: Simplify right side
    51,906.56x = 1,613,142,038.04
  5. Step 5: Solve for x
    x = 1,613,142,038.04/51,906.56
  6. Step 6: Final answer
    x = 31,077.81

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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.