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Finding the Fourth Proportional to 145,563.89, 200,861.91 and 81,900.32

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Solution

The fourth proportional to 145,563.89, 200,861.91 and 81,900.32 is: 113,013.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,563.89 : 200,861.91 = 81,900.32 : x
  2. Step 2: Convert to fraction form
    145,563.89/200,861.91 = 81,900.32/x
  3. Step 3: Cross multiply
    145,563.89x = 200,861.91 × 81,900.32
  4. Step 4: Simplify right side
    145,563.89x = 16,450,653,700.50
  5. Step 5: Solve for x
    x = 16,450,653,700.50/145,563.89
  6. Step 6: Final answer
    x = 113,013.29

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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.