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Finding the Fourth Proportional to 86,028.16, 128,994 and 26,848.48

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Solution

The fourth proportional to 86,028.16, 128,994 and 26,848.48 is: 40,257.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,028.16 : 128,994 = 26,848.48 : x
  2. Step 2: Convert to fraction form
    86,028.16/128,994 = 26,848.48/x
  3. Step 3: Cross multiply
    86,028.16x = 128,994 × 26,848.48
  4. Step 4: Simplify right side
    86,028.16x = 3,463,292,829.12
  5. Step 5: Solve for x
    x = 3,463,292,829.12/86,028.16
  6. Step 6: Final answer
    x = 40,257.66

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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.