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Finding the Fourth Proportional to 212,994.38, 293,802 and 136,487.72

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Solution

The fourth proportional to 212,994.38, 293,802 and 136,487.72 is: 188,269.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,994.38 : 293,802 = 136,487.72 : x
  2. Step 2: Convert to fraction form
    212,994.38/293,802 = 136,487.72/x
  3. Step 3: Cross multiply
    212,994.38x = 293,802 × 136,487.72
  4. Step 4: Simplify right side
    212,994.38x = 40,100,365,111.44
  5. Step 5: Solve for x
    x = 40,100,365,111.44/212,994.38
  6. Step 6: Final answer
    x = 188,269.59

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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.