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Finding the Fourth Proportional to 201,901.40, 278,636.33 and 111,257.32

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Solution

The fourth proportional to 201,901.40, 278,636.33 and 111,257.32 is: 153,541.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,901.40 : 278,636.33 = 111,257.32 : x
  2. Step 2: Convert to fraction form
    201,901.40/278,636.33 = 111,257.32/x
  3. Step 3: Cross multiply
    201,901.40x = 278,636.33 × 111,257.32
  4. Step 4: Simplify right side
    201,901.40x = 31,000,331,330.44
  5. Step 5: Solve for x
    x = 31,000,331,330.44/201,901.40
  6. Step 6: Final answer
    x = 153,541.93

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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.