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Finding the Fourth Proportional to 212,816.64, 319,276.80 and 65,072.64

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Solution

The fourth proportional to 212,816.64, 319,276.80 and 65,072.64 is: 97,624.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,816.64 : 319,276.80 = 65,072.64 : x
  2. Step 2: Convert to fraction form
    212,816.64/319,276.80 = 65,072.64/x
  3. Step 3: Cross multiply
    212,816.64x = 319,276.80 × 65,072.64
  4. Step 4: Simplify right side
    212,816.64x = 20,776,184,266.75
  5. Step 5: Solve for x
    x = 20,776,184,266.75/212,816.64
  6. Step 6: Final answer
    x = 97,624.81

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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.