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Finding the Fourth Proportional to 223,086, 307,744.58 and 142,428.74

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Solution

The fourth proportional to 223,086, 307,744.58 and 142,428.74 is: 196,478.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,086 : 307,744.58 = 142,428.74 : x
  2. Step 2: Convert to fraction form
    223,086/307,744.58 = 142,428.74/x
  3. Step 3: Cross multiply
    223,086x = 307,744.58 × 142,428.74
  4. Step 4: Simplify right side
    223,086x = 43,831,670,520.36
  5. Step 5: Solve for x
    x = 43,831,670,520.36/223,086
  6. Step 6: Final answer
    x = 196,478.80

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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.