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Finding the Fourth Proportional to 54,900, 75,762.06 and 29,749.50

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Solution

The fourth proportional to 54,900, 75,762.06 and 29,749.50 is: 41,054.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,900 : 75,762.06 = 29,749.50 : x
  2. Step 2: Convert to fraction form
    54,900/75,762.06 = 29,749.50/x
  3. Step 3: Cross multiply
    54,900x = 75,762.06 × 29,749.50
  4. Step 4: Simplify right side
    54,900x = 2,253,883,292.41
  5. Step 5: Solve for x
    x = 2,253,883,292.41/54,900
  6. Step 6: Final answer
    x = 41,054.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.