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Finding the Fourth Proportional to 145,573.76, 200,880.88 and 81,899.26

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Solution

The fourth proportional to 145,573.76, 200,880.88 and 81,899.26 is: 113,014.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,573.76 : 200,880.88 = 81,899.26 : x
  2. Step 2: Convert to fraction form
    145,573.76/200,880.88 = 81,899.26/x
  3. Step 3: Cross multiply
    145,573.76x = 200,880.88 × 81,899.26
  4. Step 4: Simplify right side
    145,573.76x = 16,451,994,713.20
  5. Step 5: Solve for x
    x = 16,451,994,713.20/145,573.76
  6. Step 6: Final answer
    x = 113,014.83

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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.