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Finding the Fourth Proportional to 281,107.87, 421,268.13 and 147,788.35

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Solution

The fourth proportional to 281,107.87, 421,268.13 and 147,788.35 is: 221,475.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,107.87 : 421,268.13 = 147,788.35 : x
  2. Step 2: Convert to fraction form
    281,107.87/421,268.13 = 147,788.35/x
  3. Step 3: Cross multiply
    281,107.87x = 421,268.13 × 147,788.35
  4. Step 4: Simplify right side
    281,107.87x = 62,258,519,733.94
  5. Step 5: Solve for x
    x = 62,258,519,733.94/281,107.87
  6. Step 6: Final answer
    x = 221,475.55

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Why These Related Problems?

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