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Finding the Fourth Proportional to 82,510, 113,854.33 and 46,206.38

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Solution

The fourth proportional to 82,510, 113,854.33 and 46,206.38 is: 63,759.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,510 : 113,854.33 = 46,206.38 : x
  2. Step 2: Convert to fraction form
    82,510/113,854.33 = 46,206.38/x
  3. Step 3: Cross multiply
    82,510x = 113,854.33 × 46,206.38
  4. Step 4: Simplify right side
    82,510x = 5,260,796,436.63
  5. Step 5: Solve for x
    x = 5,260,796,436.63/82,510
  6. Step 6: Final answer
    x = 63,759.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.