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Finding the Fourth Proportional to 201,454, 278,012.64 and 110,805.28

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Solution

The fourth proportional to 201,454, 278,012.64 and 110,805.28 is: 152,914.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,454 : 278,012.64 = 110,805.28 : x
  2. Step 2: Convert to fraction form
    201,454/278,012.64 = 110,805.28/x
  3. Step 3: Cross multiply
    201,454x = 278,012.64 × 110,805.28
  4. Step 4: Simplify right side
    201,454x = 30,805,268,418.74
  5. Step 5: Solve for x
    x = 30,805,268,418.74/201,454
  6. Step 6: Final answer
    x = 152,914.65

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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.