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Finding the Fourth Proportional to 201,900.64, 278,507.28 and 126,317.92

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Solution

The fourth proportional to 201,900.64, 278,507.28 and 126,317.92 is: 174,246.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,900.64 : 278,507.28 = 126,317.92 : x
  2. Step 2: Convert to fraction form
    201,900.64/278,507.28 = 126,317.92/x
  3. Step 3: Cross multiply
    201,900.64x = 278,507.28 × 126,317.92
  4. Step 4: Simplify right side
    201,900.64x = 35,180,460,314.46
  5. Step 5: Solve for x
    x = 35,180,460,314.46/201,900.64
  6. Step 6: Final answer
    x = 174,246.40

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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.