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Finding the Fourth Proportional to 84,106, 125,901.36 and 54,464.84

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Solution

The fourth proportional to 84,106, 125,901.36 and 54,464.84 is: 81,530.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,106 : 125,901.36 = 54,464.84 : x
  2. Step 2: Convert to fraction form
    84,106/125,901.36 = 54,464.84/x
  3. Step 3: Cross multiply
    84,106x = 125,901.36 × 54,464.84
  4. Step 4: Simplify right side
    84,106x = 6,857,197,428.18
  5. Step 5: Solve for x
    x = 6,857,197,428.18/84,106
  6. Step 6: Final answer
    x = 81,530.42

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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.