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Finding the Fourth Proportional to 84,815.30, 127,028.55 and 82,871.30

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Solution

The fourth proportional to 84,815.30, 127,028.55 and 82,871.30 is: 124,117.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,815.30 : 127,028.55 = 82,871.30 : x
  2. Step 2: Convert to fraction form
    84,815.30/127,028.55 = 82,871.30/x
  3. Step 3: Cross multiply
    84,815.30x = 127,028.55 × 82,871.30
  4. Step 4: Simplify right side
    84,815.30x = 10,527,021,075.62
  5. Step 5: Solve for x
    x = 10,527,021,075.62/84,815.30
  6. Step 6: Final answer
    x = 124,117.01

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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.