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Finding the Fourth Proportional to 203,417.64, 280,708.74 and 113,987.88

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Solution

The fourth proportional to 203,417.64, 280,708.74 and 113,987.88 is: 157,299.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,417.64 : 280,708.74 = 113,987.88 : x
  2. Step 2: Convert to fraction form
    203,417.64/280,708.74 = 113,987.88/x
  3. Step 3: Cross multiply
    203,417.64x = 280,708.74 × 113,987.88
  4. Step 4: Simplify right side
    203,417.64x = 31,997,394,170.07
  5. Step 5: Solve for x
    x = 31,997,394,170.07/203,417.64
  6. Step 6: Final answer
    x = 157,299.01

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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.