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Finding the Fourth Proportional to 74,378.50, 102,643.14 and 40,844.50

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Solution

The fourth proportional to 74,378.50, 102,643.14 and 40,844.50 is: 56,365.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,378.50 : 102,643.14 = 40,844.50 : x
  2. Step 2: Convert to fraction form
    74,378.50/102,643.14 = 40,844.50/x
  3. Step 3: Cross multiply
    74,378.50x = 102,643.14 × 40,844.50
  4. Step 4: Simplify right side
    74,378.50x = 4,192,407,731.73
  5. Step 5: Solve for x
    x = 4,192,407,731.73/74,378.50
  6. Step 6: Final answer
    x = 56,365.85

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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.