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Finding the Fourth Proportional to 82,639.76, 124,698.24 and 82,639.76

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Solution

The fourth proportional to 82,639.76, 124,698.24 and 82,639.76 is: 124,698.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,639.76 : 124,698.24 = 82,639.76 : x
  2. Step 2: Convert to fraction form
    82,639.76/124,698.24 = 82,639.76/x
  3. Step 3: Cross multiply
    82,639.76x = 124,698.24 × 82,639.76
  4. Step 4: Simplify right side
    82,639.76x = 10,305,032,626.02
  5. Step 5: Solve for x
    x = 10,305,032,626.02/82,639.76
  6. Step 6: Final answer
    x = 124,698.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.