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Finding the Fourth Proportional to 212,279.98, 318,304.68 and 105,429.50

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Solution

The fourth proportional to 212,279.98, 318,304.68 and 105,429.50 is: 158,086.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,279.98 : 318,304.68 = 105,429.50 : x
  2. Step 2: Convert to fraction form
    212,279.98/318,304.68 = 105,429.50/x
  3. Step 3: Cross multiply
    212,279.98x = 318,304.68 × 105,429.50
  4. Step 4: Simplify right side
    212,279.98x = 33,558,703,260.06
  5. Step 5: Solve for x
    x = 33,558,703,260.06/212,279.98
  6. Step 6: Final answer
    x = 158,086.99

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