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Finding the Fourth Proportional to 74,538.50, 102,845.32 and 50,384.50

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Solution

The fourth proportional to 74,538.50, 102,845.32 and 50,384.50 is: 69,518.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,538.50 : 102,845.32 = 50,384.50 : x
  2. Step 2: Convert to fraction form
    74,538.50/102,845.32 = 50,384.50/x
  3. Step 3: Cross multiply
    74,538.50x = 102,845.32 × 50,384.50
  4. Step 4: Simplify right side
    74,538.50x = 5,181,809,642.47
  5. Step 5: Solve for x
    x = 5,181,809,642.47/74,538.50
  6. Step 6: Final answer
    x = 69,518.57

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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.