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Finding the Fourth Proportional to 201,459.80, 278,015.12 and 110,825.04

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Solution

The fourth proportional to 201,459.80, 278,015.12 and 110,825.04 is: 152,938.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,459.80 : 278,015.12 = 110,825.04 : x
  2. Step 2: Convert to fraction form
    201,459.80/278,015.12 = 110,825.04/x
  3. Step 3: Cross multiply
    201,459.80x = 278,015.12 × 110,825.04
  4. Step 4: Simplify right side
    201,459.80x = 30,811,036,794.60
  5. Step 5: Solve for x
    x = 30,811,036,794.60/201,459.80
  6. Step 6: Final answer
    x = 152,938.88

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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.