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Finding the Fourth Proportional to 84,741.40, 127,112.10 and 82,554.40

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Solution

The fourth proportional to 84,741.40, 127,112.10 and 82,554.40 is: 123,831.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,741.40 : 127,112.10 = 82,554.40 : x
  2. Step 2: Convert to fraction form
    84,741.40/127,112.10 = 82,554.40/x
  3. Step 3: Cross multiply
    84,741.40x = 127,112.10 × 82,554.40
  4. Step 4: Simplify right side
    84,741.40x = 10,493,663,148.24
  5. Step 5: Solve for x
    x = 10,493,663,148.24/84,741.40
  6. Step 6: Final answer
    x = 123,831.60

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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.