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Finding the Fourth Proportional to 74,078.52, 102,200.82 and 47,214.87

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Solution

The fourth proportional to 74,078.52, 102,200.82 and 47,214.87 is: 65,138.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,078.52 : 102,200.82 = 47,214.87 : x
  2. Step 2: Convert to fraction form
    74,078.52/102,200.82 = 47,214.87/x
  3. Step 3: Cross multiply
    74,078.52x = 102,200.82 × 47,214.87
  4. Step 4: Simplify right side
    74,078.52x = 4,825,398,430.19
  5. Step 5: Solve for x
    x = 4,825,398,430.19/74,078.52
  6. Step 6: Final answer
    x = 65,138.97

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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.