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Finding the Fourth Proportional to 275,775.32, 413,639.94 and 109,518.68

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Solution

The fourth proportional to 275,775.32, 413,639.94 and 109,518.68 is: 164,268.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,775.32 : 413,639.94 = 109,518.68 : x
  2. Step 2: Convert to fraction form
    275,775.32/413,639.94 = 109,518.68/x
  3. Step 3: Cross multiply
    275,775.32x = 413,639.94 × 109,518.68
  4. Step 4: Simplify right side
    275,775.32x = 45,301,300,224.08
  5. Step 5: Solve for x
    x = 45,301,300,224.08/275,775.32
  6. Step 6: Final answer
    x = 164,268.87

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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.