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Finding the Fourth Proportional to 201,682.86, 278,408.40 and 143,577.06

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Solution

The fourth proportional to 201,682.86, 278,408.40 and 143,577.06 is: 198,197.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,682.86 : 278,408.40 = 143,577.06 : x
  2. Step 2: Convert to fraction form
    201,682.86/278,408.40 = 143,577.06/x
  3. Step 3: Cross multiply
    201,682.86x = 278,408.40 × 143,577.06
  4. Step 4: Simplify right side
    201,682.86x = 39,973,059,551.30
  5. Step 5: Solve for x
    x = 39,973,059,551.30/201,682.86
  6. Step 6: Final answer
    x = 198,197.60

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1.5x scale

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.