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Finding the Fourth Proportional to 64,970.40, 89,650.08 and 36,288.84

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Solution

The fourth proportional to 64,970.40, 89,650.08 and 36,288.84 is: 50,073.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,970.40 : 89,650.08 = 36,288.84 : x
  2. Step 2: Convert to fraction form
    64,970.40/89,650.08 = 36,288.84/x
  3. Step 3: Cross multiply
    64,970.40x = 89,650.08 × 36,288.84
  4. Step 4: Simplify right side
    64,970.40x = 3,253,297,409.11
  5. Step 5: Solve for x
    x = 3,253,297,409.11/64,970.40
  6. Step 6: Final answer
    x = 50,073.53

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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.