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Finding the Fourth Proportional to 145,572.48, 200,893.94 and 81,912.52

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Solution

The fourth proportional to 145,572.48, 200,893.94 and 81,912.52 is: 113,041.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,572.48 : 200,893.94 = 81,912.52 : x
  2. Step 2: Convert to fraction form
    145,572.48/200,893.94 = 81,912.52/x
  3. Step 3: Cross multiply
    145,572.48x = 200,893.94 × 81,912.52
  4. Step 4: Simplify right side
    145,572.48x = 16,455,728,878.13
  5. Step 5: Solve for x
    x = 16,455,728,878.13/145,572.48
  6. Step 6: Final answer
    x = 113,041.48

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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.