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Finding the Fourth Proportional to 105,725.70, 145,891.26 and 63,283.32

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Solution

The fourth proportional to 105,725.70, 145,891.26 and 63,283.32 is: 87,324.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,725.70 : 145,891.26 = 63,283.32 : x
  2. Step 2: Convert to fraction form
    105,725.70/145,891.26 = 63,283.32/x
  3. Step 3: Cross multiply
    105,725.70x = 145,891.26 × 63,283.32
  4. Step 4: Simplify right side
    105,725.70x = 9,232,483,291.78
  5. Step 5: Solve for x
    x = 9,232,483,291.78/105,725.70
  6. Step 6: Final answer
    x = 87,324.87

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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.