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Finding the Fourth Proportional to 74,418, 102,703.41 and 40,890.48

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Solution

The fourth proportional to 74,418, 102,703.41 and 40,890.48 is: 56,432.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,418 : 102,703.41 = 40,890.48 : x
  2. Step 2: Convert to fraction form
    74,418/102,703.41 = 40,890.48/x
  3. Step 3: Cross multiply
    74,418x = 102,703.41 × 40,890.48
  4. Step 4: Simplify right side
    74,418x = 4,199,591,732.54
  5. Step 5: Solve for x
    x = 4,199,591,732.54/74,418
  6. Step 6: Final answer
    x = 56,432.47

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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.