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Finding the Fourth Proportional to 84,511.94, 126,784.94 and 31,204.26

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Solution

The fourth proportional to 84,511.94, 126,784.94 and 31,204.26 is: 46,812.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,511.94 : 126,784.94 = 31,204.26 : x
  2. Step 2: Convert to fraction form
    84,511.94/126,784.94 = 31,204.26/x
  3. Step 3: Cross multiply
    84,511.94x = 126,784.94 × 31,204.26
  4. Step 4: Simplify right side
    84,511.94x = 3,956,230,075.82
  5. Step 5: Solve for x
    x = 3,956,230,075.82/84,511.94
  6. Step 6: Final answer
    x = 46,812.68

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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.