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Finding the Fourth Proportional to 83,478.84, 115,201.26 and 45,238.56

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Solution

The fourth proportional to 83,478.84, 115,201.26 and 45,238.56 is: 62,429.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,478.84 : 115,201.26 = 45,238.56 : x
  2. Step 2: Convert to fraction form
    83,478.84/115,201.26 = 45,238.56/x
  3. Step 3: Cross multiply
    83,478.84x = 115,201.26 × 45,238.56
  4. Step 4: Simplify right side
    83,478.84x = 5,211,539,112.59
  5. Step 5: Solve for x
    x = 5,211,539,112.59/83,478.84
  6. Step 6: Final answer
    x = 62,429.46

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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.