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Finding the Fourth Proportional to 212,809.70, 319,052.55 and 107,704.10

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Solution

The fourth proportional to 212,809.70, 319,052.55 and 107,704.10 is: 161,474.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,809.70 : 319,052.55 = 107,704.10 : x
  2. Step 2: Convert to fraction form
    212,809.70/319,052.55 = 107,704.10/x
  3. Step 3: Cross multiply
    212,809.70x = 319,052.55 × 107,704.10
  4. Step 4: Simplify right side
    212,809.70x = 34,363,267,750.46
  5. Step 5: Solve for x
    x = 34,363,267,750.46/212,809.70
  6. Step 6: Final answer
    x = 161,474.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.