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Finding the Fourth Proportional to 103,135.86, 154,714.59 and 43,977.78

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Solution

The fourth proportional to 103,135.86, 154,714.59 and 43,977.78 is: 65,971.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,135.86 : 154,714.59 = 43,977.78 : x
  2. Step 2: Convert to fraction form
    103,135.86/154,714.59 = 43,977.78/x
  3. Step 3: Cross multiply
    103,135.86x = 154,714.59 × 43,977.78
  4. Step 4: Simplify right side
    103,135.86x = 6,804,004,201.81
  5. Step 5: Solve for x
    x = 6,804,004,201.81/103,135.86
  6. Step 6: Final answer
    x = 65,971.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.