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Finding the Fourth Proportional to 74,340, 102,589.20 and 40,805.28

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Solution

The fourth proportional to 74,340, 102,589.20 and 40,805.28 is: 56,311.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,340 : 102,589.20 = 40,805.28 : x
  2. Step 2: Convert to fraction form
    74,340/102,589.20 = 40,805.28/x
  3. Step 3: Cross multiply
    74,340x = 102,589.20 × 40,805.28
  4. Step 4: Simplify right side
    74,340x = 4,186,181,030.98
  5. Step 5: Solve for x
    x = 4,186,181,030.98/74,340
  6. Step 6: Final answer
    x = 56,311.29

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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.