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Finding the Fourth Proportional to 64,224, 88,683.84 and 40,390.56

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Solution

The fourth proportional to 64,224, 88,683.84 and 40,390.56 is: 55,773.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,224 : 88,683.84 = 40,390.56 : x
  2. Step 2: Convert to fraction form
    64,224/88,683.84 = 40,390.56/x
  3. Step 3: Cross multiply
    64,224x = 88,683.84 × 40,390.56
  4. Step 4: Simplify right side
    64,224x = 3,581,989,960.55
  5. Step 5: Solve for x
    x = 3,581,989,960.55/64,224
  6. Step 6: Final answer
    x = 55,773.39

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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.