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Finding the Fourth Proportional to 102,906, 154,218.72 and 57,948.80

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Solution

The fourth proportional to 102,906, 154,218.72 and 57,948.80 is: 86,844.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,906 : 154,218.72 = 57,948.80 : x
  2. Step 2: Convert to fraction form
    102,906/154,218.72 = 57,948.80/x
  3. Step 3: Cross multiply
    102,906x = 154,218.72 × 57,948.80
  4. Step 4: Simplify right side
    102,906x = 8,936,789,761.54
  5. Step 5: Solve for x
    x = 8,936,789,761.54/102,906
  6. Step 6: Final answer
    x = 86,844.21

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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.