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Finding the Fourth Proportional to 145,580.82, 200,904.60 and 81,918.60

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Solution

The fourth proportional to 145,580.82, 200,904.60 and 81,918.60 is: 113,049.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,580.82 : 200,904.60 = 81,918.60 : x
  2. Step 2: Convert to fraction form
    145,580.82/200,904.60 = 81,918.60/x
  3. Step 3: Cross multiply
    145,580.82x = 200,904.60 × 81,918.60
  4. Step 4: Simplify right side
    145,580.82x = 16,457,823,565.56
  5. Step 5: Solve for x
    x = 16,457,823,565.56/145,580.82
  6. Step 6: Final answer
    x = 113,049.39

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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.