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Finding the Fourth Proportional to 85,425.20, 128,137.80 and 81,537.20

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Solution

The fourth proportional to 85,425.20, 128,137.80 and 81,537.20 is: 122,305.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,425.20 : 128,137.80 = 81,537.20 : x
  2. Step 2: Convert to fraction form
    85,425.20/128,137.80 = 81,537.20/x
  3. Step 3: Cross multiply
    85,425.20x = 128,137.80 × 81,537.20
  4. Step 4: Simplify right side
    85,425.20x = 10,447,997,426.16
  5. Step 5: Solve for x
    x = 10,447,997,426.16/85,425.20
  6. Step 6: Final answer
    x = 122,305.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.