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Finding the Fourth Proportional to 212,490, 293,230.40 and 116,997.21

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Solution

The fourth proportional to 212,490, 293,230.40 and 116,997.21 is: 161,452.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,490 : 293,230.40 = 116,997.21 : x
  2. Step 2: Convert to fraction form
    212,490/293,230.40 = 116,997.21/x
  3. Step 3: Cross multiply
    212,490x = 293,230.40 × 116,997.21
  4. Step 4: Simplify right side
    212,490x = 34,307,138,102.20
  5. Step 5: Solve for x
    x = 34,307,138,102.20/212,490
  6. Step 6: Final answer
    x = 161,452.95

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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.