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Finding the Fourth Proportional to 75,809.28, 104,584.32 and 45,586.56

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Solution

The fourth proportional to 75,809.28, 104,584.32 and 45,586.56 is: 62,889.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,809.28 : 104,584.32 = 45,586.56 : x
  2. Step 2: Convert to fraction form
    75,809.28/104,584.32 = 45,586.56/x
  3. Step 3: Cross multiply
    75,809.28x = 104,584.32 × 45,586.56
  4. Step 4: Simplify right side
    75,809.28x = 4,767,639,378.74
  5. Step 5: Solve for x
    x = 4,767,639,378.74/75,809.28
  6. Step 6: Final answer
    x = 62,889.92

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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.