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Finding the Fourth Proportional to 226,017.20, 338,809.80 and 83,824.40

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Solution

The fourth proportional to 226,017.20, 338,809.80 and 83,824.40 is: 125,656.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,017.20 : 338,809.80 = 83,824.40 : x
  2. Step 2: Convert to fraction form
    226,017.20/338,809.80 = 83,824.40/x
  3. Step 3: Cross multiply
    226,017.20x = 338,809.80 × 83,824.40
  4. Step 4: Simplify right side
    226,017.20x = 28,400,528,199.12
  5. Step 5: Solve for x
    x = 28,400,528,199.12/226,017.20
  6. Step 6: Final answer
    x = 125,656.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.