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Finding the Fourth Proportional to 65,179.31, 89,947.45 and 35,371.31

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Solution

The fourth proportional to 65,179.31, 89,947.45 and 35,371.31 is: 48,812.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,179.31 : 89,947.45 = 35,371.31 : x
  2. Step 2: Convert to fraction form
    65,179.31/89,947.45 = 35,371.31/x
  3. Step 3: Cross multiply
    65,179.31x = 89,947.45 × 35,371.31
  4. Step 4: Simplify right side
    65,179.31x = 3,181,559,406.74
  5. Step 5: Solve for x
    x = 3,181,559,406.74/65,179.31
  6. Step 6: Final answer
    x = 48,812.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.