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Finding the Fourth Proportional to 85,727.80, 128,537.70 and 35,842.60

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Solution

The fourth proportional to 85,727.80, 128,537.70 and 35,842.60 is: 53,741.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,727.80 : 128,537.70 = 35,842.60 : x
  2. Step 2: Convert to fraction form
    85,727.80/128,537.70 = 35,842.60/x
  3. Step 3: Cross multiply
    85,727.80x = 128,537.70 × 35,842.60
  4. Step 4: Simplify right side
    85,727.80x = 4,607,125,366.02
  5. Step 5: Solve for x
    x = 4,607,125,366.02/85,727.80
  6. Step 6: Final answer
    x = 53,741.32

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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.