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Finding the Fourth Proportional to 75,573.78, 104,280.27 and 45,352.50

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Solution

The fourth proportional to 75,573.78, 104,280.27 and 45,352.50 is: 62,579.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,573.78 : 104,280.27 = 45,352.50 : x
  2. Step 2: Convert to fraction form
    75,573.78/104,280.27 = 45,352.50/x
  3. Step 3: Cross multiply
    75,573.78x = 104,280.27 × 45,352.50
  4. Step 4: Simplify right side
    75,573.78x = 4,729,370,945.18
  5. Step 5: Solve for x
    x = 4,729,370,945.18/75,573.78
  6. Step 6: Final answer
    x = 62,579.52

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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.