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Finding the Fourth Proportional to 74,509.70, 102,824.60 and 40,518.86

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Solution

The fourth proportional to 74,509.70, 102,824.60 and 40,518.86 is: 55,916.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,509.70 : 102,824.60 = 40,518.86 : x
  2. Step 2: Convert to fraction form
    74,509.70/102,824.60 = 40,518.86/x
  3. Step 3: Cross multiply
    74,509.70x = 102,824.60 × 40,518.86
  4. Step 4: Simplify right side
    74,509.70x = 4,166,335,571.96
  5. Step 5: Solve for x
    x = 4,166,335,571.96/74,509.70
  6. Step 6: Final answer
    x = 55,916.69

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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.