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Finding the Fourth Proportional to 74,157.48, 102,336.48 and 40,165.32

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Solution

The fourth proportional to 74,157.48, 102,336.48 and 40,165.32 is: 55,427.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,157.48 : 102,336.48 = 40,165.32 : x
  2. Step 2: Convert to fraction form
    74,157.48/102,336.48 = 40,165.32/x
  3. Step 3: Cross multiply
    74,157.48x = 102,336.48 × 40,165.32
  4. Step 4: Simplify right side
    74,157.48x = 4,110,377,466.87
  5. Step 5: Solve for x
    x = 4,110,377,466.87/74,157.48
  6. Step 6: Final answer
    x = 55,427.69

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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.