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Finding the Fourth Proportional to 201,857.52, 278,563.40 and 117,023.80

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Solution

The fourth proportional to 201,857.52, 278,563.40 and 117,023.80 is: 161,492.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,857.52 : 278,563.40 = 117,023.80 : x
  2. Step 2: Convert to fraction form
    201,857.52/278,563.40 = 117,023.80/x
  3. Step 3: Cross multiply
    201,857.52x = 278,563.40 × 117,023.80
  4. Step 4: Simplify right side
    201,857.52x = 32,598,547,608.92
  5. Step 5: Solve for x
    x = 32,598,547,608.92/201,857.52
  6. Step 6: Final answer
    x = 161,492.86

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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.