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Finding the Fourth Proportional to 201,456, 278,015.40 and 110,807.28

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Solution

The fourth proportional to 201,456, 278,015.40 and 110,807.28 is: 152,917.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,456 : 278,015.40 = 110,807.28 : x
  2. Step 2: Convert to fraction form
    201,456/278,015.40 = 110,807.28/x
  3. Step 3: Cross multiply
    201,456x = 278,015.40 × 110,807.28
  4. Step 4: Simplify right side
    201,456x = 30,806,130,272.11
  5. Step 5: Solve for x
    x = 30,806,130,272.11/201,456
  6. Step 6: Final answer
    x = 152,917.41

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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.