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Finding the Fourth Proportional to 201,906.50, 278,636.73 and 112,488.26

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Solution

The fourth proportional to 201,906.50, 278,636.73 and 112,488.26 is: 155,237.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,906.50 : 278,636.73 = 112,488.26 : x
  2. Step 2: Convert to fraction form
    201,906.50/278,636.73 = 112,488.26/x
  3. Step 3: Cross multiply
    201,906.50x = 278,636.73 × 112,488.26
  4. Step 4: Simplify right side
    201,906.50x = 31,343,360,929.79
  5. Step 5: Solve for x
    x = 31,343,360,929.79/201,906.50
  6. Step 6: Final answer
    x = 155,237.01

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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.