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Finding the Fourth Proportional to 201,977.28, 278,683.74 and 115,931

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Solution

The fourth proportional to 201,977.28, 278,683.74 and 115,931 is: 159,959.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,977.28 : 278,683.74 = 115,931 : x
  2. Step 2: Convert to fraction form
    201,977.28/278,683.74 = 115,931/x
  3. Step 3: Cross multiply
    201,977.28x = 278,683.74 × 115,931
  4. Step 4: Simplify right side
    201,977.28x = 32,308,084,661.94
  5. Step 5: Solve for x
    x = 32,308,084,661.94/201,977.28
  6. Step 6: Final answer
    x = 159,959.00

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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.