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Finding the Fourth Proportional to 212,807.16, 293,674.77 and 117,311.76

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Solution

The fourth proportional to 212,807.16, 293,674.77 and 117,311.76 is: 161,890.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,807.16 : 293,674.77 = 117,311.76 : x
  2. Step 2: Convert to fraction form
    212,807.16/293,674.77 = 117,311.76/x
  3. Step 3: Cross multiply
    212,807.16x = 293,674.77 × 117,311.76
  4. Step 4: Simplify right side
    212,807.16x = 34,451,504,136.30
  5. Step 5: Solve for x
    x = 34,451,504,136.30/212,807.16
  6. Step 6: Final answer
    x = 161,890.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.