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Finding the Fourth Proportional to 212,461.56, 318,692.28 and 64,717.56

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Solution

The fourth proportional to 212,461.56, 318,692.28 and 64,717.56 is: 97,076.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,461.56 : 318,692.28 = 64,717.56 : x
  2. Step 2: Convert to fraction form
    212,461.56/318,692.28 = 64,717.56/x
  3. Step 3: Cross multiply
    212,461.56x = 318,692.28 × 64,717.56
  4. Step 4: Simplify right side
    212,461.56x = 20,624,986,752.44
  5. Step 5: Solve for x
    x = 20,624,986,752.44/212,461.56
  6. Step 6: Final answer
    x = 97,076.32

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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.