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Finding the Fourth Proportional to 201,905.52, 302,858.28 and 127,878

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Solution

The fourth proportional to 201,905.52, 302,858.28 and 127,878 is: 191,817.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,905.52 : 302,858.28 = 127,878 : x
  2. Step 2: Convert to fraction form
    201,905.52/302,858.28 = 127,878/x
  3. Step 3: Cross multiply
    201,905.52x = 302,858.28 × 127,878
  4. Step 4: Simplify right side
    201,905.52x = 38,728,911,129.84
  5. Step 5: Solve for x
    x = 38,728,911,129.84/201,905.52
  6. Step 6: Final answer
    x = 191,817.00

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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.