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Finding the Fourth Proportional to 103,969.44, 143,478 and 59,257.44

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Solution

The fourth proportional to 103,969.44, 143,478 and 59,257.44 is: 81,775.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,969.44 : 143,478 = 59,257.44 : x
  2. Step 2: Convert to fraction form
    103,969.44/143,478 = 59,257.44/x
  3. Step 3: Cross multiply
    103,969.44x = 143,478 × 59,257.44
  4. Step 4: Simplify right side
    103,969.44x = 8,502,138,976.32
  5. Step 5: Solve for x
    x = 8,502,138,976.32/103,969.44
  6. Step 6: Final answer
    x = 81,775.37

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1.5x scale

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.