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Finding the Fourth Proportional to 85,356.58, 127,962.56 and 35,405.50

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Solution

The fourth proportional to 85,356.58, 127,962.56 and 35,405.50 is: 53,078.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,356.58 : 127,962.56 = 35,405.50 : x
  2. Step 2: Convert to fraction form
    85,356.58/127,962.56 = 35,405.50/x
  3. Step 3: Cross multiply
    85,356.58x = 127,962.56 × 35,405.50
  4. Step 4: Simplify right side
    85,356.58x = 4,530,578,418.08
  5. Step 5: Solve for x
    x = 4,530,578,418.08/85,356.58
  6. Step 6: Final answer
    x = 53,078.26

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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.