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Finding the Fourth Proportional to 201,782.88, 278,457.84 and 111,137.04

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Solution

The fourth proportional to 201,782.88, 278,457.84 and 111,137.04 is: 153,367.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,782.88 : 278,457.84 = 111,137.04 : x
  2. Step 2: Convert to fraction form
    201,782.88/278,457.84 = 111,137.04/x
  3. Step 3: Cross multiply
    201,782.88x = 278,457.84 × 111,137.04
  4. Step 4: Simplify right side
    201,782.88x = 30,946,980,102.39
  5. Step 5: Solve for x
    x = 30,946,980,102.39/201,782.88
  6. Step 6: Final answer
    x = 153,367.72

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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.