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Finding the Fourth Proportional to 70,718.21, 106,147.02 and 51,945.54

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Solution

The fourth proportional to 70,718.21, 106,147.02 and 51,945.54 is: 77,969.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,718.21 : 106,147.02 = 51,945.54 : x
  2. Step 2: Convert to fraction form
    70,718.21/106,147.02 = 51,945.54/x
  3. Step 3: Cross multiply
    70,718.21x = 106,147.02 × 51,945.54
  4. Step 4: Simplify right side
    70,718.21x = 5,513,864,273.29
  5. Step 5: Solve for x
    x = 5,513,864,273.29/70,718.21
  6. Step 6: Final answer
    x = 77,969.52

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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.