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Finding the Fourth Proportional to 86,093.13, 128,924.91 and 54,407.60

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Solution

The fourth proportional to 86,093.13, 128,924.91 and 54,407.60 is: 81,475.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,093.13 : 128,924.91 = 54,407.60 : x
  2. Step 2: Convert to fraction form
    86,093.13/128,924.91 = 54,407.60/x
  3. Step 3: Cross multiply
    86,093.13x = 128,924.91 × 54,407.60
  4. Step 4: Simplify right side
    86,093.13x = 7,014,494,288.69
  5. Step 5: Solve for x
    x = 7,014,494,288.69/86,093.13
  6. Step 6: Final answer
    x = 81,475.66

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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.