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Finding the Fourth Proportional to 218,795.70, 301,994.24 and 142,504.90

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Solution

The fourth proportional to 218,795.70, 301,994.24 and 142,504.90 is: 196,693.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,795.70 : 301,994.24 = 142,504.90 : x
  2. Step 2: Convert to fraction form
    218,795.70/301,994.24 = 142,504.90/x
  3. Step 3: Cross multiply
    218,795.70x = 301,994.24 × 142,504.90
  4. Step 4: Simplify right side
    218,795.70x = 43,035,658,971.78
  5. Step 5: Solve for x
    x = 43,035,658,971.78/218,795.70
  6. Step 6: Final answer
    x = 196,693.35

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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.