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Finding the Fourth Proportional to 212,380.84, 318,617.34 and 64,633

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Solution

The fourth proportional to 212,380.84, 318,617.34 and 64,633 is: 96,963.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,380.84 : 318,617.34 = 64,633 : x
  2. Step 2: Convert to fraction form
    212,380.84/318,617.34 = 64,633/x
  3. Step 3: Cross multiply
    212,380.84x = 318,617.34 × 64,633
  4. Step 4: Simplify right side
    212,380.84x = 20,593,194,536.22
  5. Step 5: Solve for x
    x = 20,593,194,536.22/212,380.84
  6. Step 6: Final answer
    x = 96,963.52

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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.