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Finding the Fourth Proportional to 82,485, 123,727.50 and 29,894.54

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Solution

The fourth proportional to 82,485, 123,727.50 and 29,894.54 is: 44,841.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,485 : 123,727.50 = 29,894.54 : x
  2. Step 2: Convert to fraction form
    82,485/123,727.50 = 29,894.54/x
  3. Step 3: Cross multiply
    82,485x = 123,727.50 × 29,894.54
  4. Step 4: Simplify right side
    82,485x = 3,698,776,079.21
  5. Step 5: Solve for x
    x = 3,698,776,079.21/82,485
  6. Step 6: Final answer
    x = 44,841.80

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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.