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Finding the Fourth Proportional to 113,868, 170,906.15 and 57,746.84

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Solution

The fourth proportional to 113,868, 170,906.15 and 57,746.84 is: 86,673.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,868 : 170,906.15 = 57,746.84 : x
  2. Step 2: Convert to fraction form
    113,868/170,906.15 = 57,746.84/x
  3. Step 3: Cross multiply
    113,868x = 170,906.15 × 57,746.84
  4. Step 4: Simplify right side
    113,868x = 9,869,289,388.90
  5. Step 5: Solve for x
    x = 9,869,289,388.90/113,868
  6. Step 6: Final answer
    x = 86,673.07

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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.