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Finding the Fourth Proportional to 201,859.40, 278,598.72 and 117,025.52

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Solution

The fourth proportional to 201,859.40, 278,598.72 and 117,025.52 is: 161,514.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,859.40 : 278,598.72 = 117,025.52 : x
  2. Step 2: Convert to fraction form
    201,859.40/278,598.72 = 117,025.52/x
  3. Step 3: Cross multiply
    201,859.40x = 278,598.72 × 117,025.52
  4. Step 4: Simplify right side
    201,859.40x = 32,603,160,079.33
  5. Step 5: Solve for x
    x = 32,603,160,079.33/201,859.40
  6. Step 6: Final answer
    x = 161,514.20

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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.