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Finding the Fourth Proportional to 145,484.54, 200,745.53 and 81,810.03

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Solution

The fourth proportional to 145,484.54, 200,745.53 and 81,810.03 is: 112,884.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,484.54 : 200,745.53 = 81,810.03 : x
  2. Step 2: Convert to fraction form
    145,484.54/200,745.53 = 81,810.03/x
  3. Step 3: Cross multiply
    145,484.54x = 200,745.53 × 81,810.03
  4. Step 4: Simplify right side
    145,484.54x = 16,422,997,884.97
  5. Step 5: Solve for x
    x = 16,422,997,884.97/145,484.54
  6. Step 6: Final answer
    x = 112,884.84

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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.