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Finding the Fourth Proportional to 145,540.63, 200,845.77 and 81,878.50

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Solution

The fourth proportional to 145,540.63, 200,845.77 and 81,878.50 is: 112,992.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,540.63 : 200,845.77 = 81,878.50 : x
  2. Step 2: Convert to fraction form
    145,540.63/200,845.77 = 81,878.50/x
  3. Step 3: Cross multiply
    145,540.63x = 200,845.77 × 81,878.50
  4. Step 4: Simplify right side
    145,540.63x = 16,444,950,378.95
  5. Step 5: Solve for x
    x = 16,444,950,378.95/145,540.63
  6. Step 6: Final answer
    x = 112,992.16

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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.