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Finding the Fourth Proportional to 64,980, 89,672.67 and 35,172

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Solution

The fourth proportional to 64,980, 89,672.67 and 35,172 is: 48,537.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,980 : 89,672.67 = 35,172 : x
  2. Step 2: Convert to fraction form
    64,980/89,672.67 = 35,172/x
  3. Step 3: Cross multiply
    64,980x = 89,672.67 × 35,172
  4. Step 4: Simplify right side
    64,980x = 3,153,967,149.24
  5. Step 5: Solve for x
    x = 3,153,967,149.24/64,980
  6. Step 6: Final answer
    x = 48,537.51

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Why These Related Problems?

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