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Finding the Fourth Proportional to 65,213, 89,993.94 and 35,405

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Solution

The fourth proportional to 65,213, 89,993.94 and 35,405 is: 48,858.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,213 : 89,993.94 = 35,405 : x
  2. Step 2: Convert to fraction form
    65,213/89,993.94 = 35,405/x
  3. Step 3: Cross multiply
    65,213x = 89,993.94 × 35,405
  4. Step 4: Simplify right side
    65,213x = 3,186,235,445.70
  5. Step 5: Solve for x
    x = 3,186,235,445.70/65,213
  6. Step 6: Final answer
    x = 48,858.90

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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.