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Finding the Fourth Proportional to 201,281.34, 277,782.74 and 120,707.40

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Solution

The fourth proportional to 201,281.34, 277,782.74 and 120,707.40 is: 166,584.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,281.34 : 277,782.74 = 120,707.40 : x
  2. Step 2: Convert to fraction form
    201,281.34/277,782.74 = 120,707.40/x
  3. Step 3: Cross multiply
    201,281.34x = 277,782.74 × 120,707.40
  4. Step 4: Simplify right side
    201,281.34x = 33,530,432,310.28
  5. Step 5: Solve for x
    x = 33,530,432,310.28/201,281.34
  6. Step 6: Final answer
    x = 166,584.90

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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.