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Finding the Fourth Proportional to 145,406.44, 200,650.74 and 81,753.64

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Solution

The fourth proportional to 145,406.44, 200,650.74 and 81,753.64 is: 112,814.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,406.44 : 200,650.74 = 81,753.64 : x
  2. Step 2: Convert to fraction form
    145,406.44/200,650.74 = 81,753.64/x
  3. Step 3: Cross multiply
    145,406.44x = 200,650.74 × 81,753.64
  4. Step 4: Simplify right side
    145,406.44x = 16,403,928,363.69
  5. Step 5: Solve for x
    x = 16,403,928,363.69/145,406.44
  6. Step 6: Final answer
    x = 112,814.32

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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.