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Finding the Fourth Proportional to 281,203.60, 421,842.40 and 103,835.20

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Solution

The fourth proportional to 281,203.60, 421,842.40 and 103,835.20 is: 155,766.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,203.60 : 421,842.40 = 103,835.20 : x
  2. Step 2: Convert to fraction form
    281,203.60/421,842.40 = 103,835.20/x
  3. Step 3: Cross multiply
    281,203.60x = 421,842.40 × 103,835.20
  4. Step 4: Simplify right side
    281,203.60x = 43,802,089,972.48
  5. Step 5: Solve for x
    x = 43,802,089,972.48/281,203.60
  6. Step 6: Final answer
    x = 155,766.46

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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.