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Finding the Fourth Proportional to 145,201.80, 200,457.90 and 87,850.92

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Solution

The fourth proportional to 145,201.80, 200,457.90 and 87,850.92 is: 121,282.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,201.80 : 200,457.90 = 87,850.92 : x
  2. Step 2: Convert to fraction form
    145,201.80/200,457.90 = 87,850.92/x
  3. Step 3: Cross multiply
    145,201.80x = 200,457.90 × 87,850.92
  4. Step 4: Simplify right side
    145,201.80x = 17,610,410,936.27
  5. Step 5: Solve for x
    x = 17,610,410,936.27/145,201.80
  6. Step 6: Final answer
    x = 121,282.32

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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.