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Finding the Fourth Proportional to 85,712.82, 128,567.86 and 23,383.32

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Solution

The fourth proportional to 85,712.82, 128,567.86 and 23,383.32 is: 35,074.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,712.82 : 128,567.86 = 23,383.32 : x
  2. Step 2: Convert to fraction form
    85,712.82/128,567.86 = 23,383.32/x
  3. Step 3: Cross multiply
    85,712.82x = 128,567.86 × 23,383.32
  4. Step 4: Simplify right side
    85,712.82x = 3,006,342,871.51
  5. Step 5: Solve for x
    x = 3,006,342,871.51/85,712.82
  6. Step 6: Final answer
    x = 35,074.60

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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.