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Finding the Fourth Proportional to 75,083.60, 103,615.38 and 46,789.40

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Solution

The fourth proportional to 75,083.60, 103,615.38 and 46,789.40 is: 64,569.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,083.60 : 103,615.38 = 46,789.40 : x
  2. Step 2: Convert to fraction form
    75,083.60/103,615.38 = 46,789.40/x
  3. Step 3: Cross multiply
    75,083.60x = 103,615.38 × 46,789.40
  4. Step 4: Simplify right side
    75,083.60x = 4,848,101,460.97
  5. Step 5: Solve for x
    x = 4,848,101,460.97/75,083.60
  6. Step 6: Final answer
    x = 64,569.38

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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.