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Finding the Fourth Proportional to 201,455, 278,014.02 and 110,806.28

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Solution

The fourth proportional to 201,455, 278,014.02 and 110,806.28 is: 152,916.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,455 : 278,014.02 = 110,806.28 : x
  2. Step 2: Convert to fraction form
    201,455/278,014.02 = 110,806.28/x
  3. Step 3: Cross multiply
    201,455x = 278,014.02 × 110,806.28
  4. Step 4: Simplify right side
    201,455x = 30,805,699,344.05
  5. Step 5: Solve for x
    x = 30,805,699,344.05/201,455
  6. Step 6: Final answer
    x = 152,916.03

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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.