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Finding the Fourth Proportional to 212,462.81, 293,219.86 and 158,654.41

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Solution

The fourth proportional to 212,462.81, 293,219.86 and 158,654.41 is: 218,958.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,462.81 : 293,219.86 = 158,654.41 : x
  2. Step 2: Convert to fraction form
    212,462.81/293,219.86 = 158,654.41/x
  3. Step 3: Cross multiply
    212,462.81x = 293,219.86 × 158,654.41
  4. Step 4: Simplify right side
    212,462.81x = 46,520,623,888.58
  5. Step 5: Solve for x
    x = 46,520,623,888.58/212,462.81
  6. Step 6: Final answer
    x = 218,958.90

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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.