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Finding the Fourth Proportional to 71,454.88, 107,186.37 and 21,541.87

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Solution

The fourth proportional to 71,454.88, 107,186.37 and 21,541.87 is: 32,314.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,454.88 : 107,186.37 = 21,541.87 : x
  2. Step 2: Convert to fraction form
    71,454.88/107,186.37 = 21,541.87/x
  3. Step 3: Cross multiply
    71,454.88x = 107,186.37 × 21,541.87
  4. Step 4: Simplify right side
    71,454.88x = 2,308,994,848.31
  5. Step 5: Solve for x
    x = 2,308,994,848.31/71,454.88
  6. Step 6: Final answer
    x = 32,314.03

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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.