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Finding the Fourth Proportional to 215,039.64, 322,563.90 and 78,258.06

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Solution

The fourth proportional to 215,039.64, 322,563.90 and 78,258.06 is: 117,388.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,039.64 : 322,563.90 = 78,258.06 : x
  2. Step 2: Convert to fraction form
    215,039.64/322,563.90 = 78,258.06/x
  3. Step 3: Cross multiply
    215,039.64x = 322,563.90 × 78,258.06
  4. Step 4: Simplify right side
    215,039.64x = 25,243,225,040.03
  5. Step 5: Solve for x
    x = 25,243,225,040.03/215,039.64
  6. Step 6: Final answer
    x = 117,388.71

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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.