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Finding the Fourth Proportional to 74,245.50, 102,463.68 and 40,711.50

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Solution

The fourth proportional to 74,245.50, 102,463.68 and 40,711.50 is: 56,184.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,245.50 : 102,463.68 = 40,711.50 : x
  2. Step 2: Convert to fraction form
    74,245.50/102,463.68 = 40,711.50/x
  3. Step 3: Cross multiply
    74,245.50x = 102,463.68 × 40,711.50
  4. Step 4: Simplify right side
    74,245.50x = 4,171,450,108.32
  5. Step 5: Solve for x
    x = 4,171,450,108.32/74,245.50
  6. Step 6: Final answer
    x = 56,184.55

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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.