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Finding the Fourth Proportional to 201,784.64, 278,420.56 and 116,896.64

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Solution

The fourth proportional to 201,784.64, 278,420.56 and 116,896.64 is: 161,292.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,784.64 : 278,420.56 = 116,896.64 : x
  2. Step 2: Convert to fraction form
    201,784.64/278,420.56 = 116,896.64/x
  3. Step 3: Cross multiply
    201,784.64x = 278,420.56 × 116,896.64
  4. Step 4: Simplify right side
    201,784.64x = 32,546,427,970.92
  5. Step 5: Solve for x
    x = 32,546,427,970.92/201,784.64
  6. Step 6: Final answer
    x = 161,292.89

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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.