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Finding the Fourth Proportional to 212,433, 318,649.50 and 64,689

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Solution

The fourth proportional to 212,433, 318,649.50 and 64,689 is: 97,033.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,433 : 318,649.50 = 64,689 : x
  2. Step 2: Convert to fraction form
    212,433/318,649.50 = 64,689/x
  3. Step 3: Cross multiply
    212,433x = 318,649.50 × 64,689
  4. Step 4: Simplify right side
    212,433x = 20,613,117,505.50
  5. Step 5: Solve for x
    x = 20,613,117,505.50/212,433
  6. Step 6: Final answer
    x = 97,033.50

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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.