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Finding the Fourth Proportional to 145,576.75, 200,892.01 and 81,045.99

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Solution

The fourth proportional to 145,576.75, 200,892.01 and 81,045.99 is: 111,841.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,576.75 : 200,892.01 = 81,045.99 : x
  2. Step 2: Convert to fraction form
    145,576.75/200,892.01 = 81,045.99/x
  3. Step 3: Cross multiply
    145,576.75x = 200,892.01 × 81,045.99
  4. Step 4: Simplify right side
    145,576.75x = 16,281,492,119.95
  5. Step 5: Solve for x
    x = 16,281,492,119.95/145,576.75
  6. Step 6: Final answer
    x = 111,841.29

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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.