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Finding the Fourth Proportional to 145,097.97, 200,225.44 and 80,563.88

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Solution

The fourth proportional to 145,097.97, 200,225.44 and 80,563.88 is: 111,172.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,097.97 : 200,225.44 = 80,563.88 : x
  2. Step 2: Convert to fraction form
    145,097.97/200,225.44 = 80,563.88/x
  3. Step 3: Cross multiply
    145,097.97x = 200,225.44 × 80,563.88
  4. Step 4: Simplify right side
    145,097.97x = 16,130,938,620.26
  5. Step 5: Solve for x
    x = 16,130,938,620.26/145,097.97
  6. Step 6: Final answer
    x = 111,172.74

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1.5x scale

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.