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Finding the Fourth Proportional to 201,638.98, 278,300.91 and 115,648.84

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Solution

The fourth proportional to 201,638.98, 278,300.91 and 115,648.84 is: 159,617.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,638.98 : 278,300.91 = 115,648.84 : x
  2. Step 2: Convert to fraction form
    201,638.98/278,300.91 = 115,648.84/x
  3. Step 3: Cross multiply
    201,638.98x = 278,300.91 × 115,648.84
  4. Step 4: Simplify right side
    201,638.98x = 32,185,177,412.44
  5. Step 5: Solve for x
    x = 32,185,177,412.44/201,638.98
  6. Step 6: Final answer
    x = 159,617.83

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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.