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Finding the Fourth Proportional to 109,982.76, 164,678.90 and 57,281.54

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Solution

The fourth proportional to 109,982.76, 164,678.90 and 57,281.54 is: 85,768.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,982.76 : 164,678.90 = 57,281.54 : x
  2. Step 2: Convert to fraction form
    109,982.76/164,678.90 = 57,281.54/x
  3. Step 3: Cross multiply
    109,982.76x = 164,678.90 × 57,281.54
  4. Step 4: Simplify right side
    109,982.76x = 9,433,060,997.51
  5. Step 5: Solve for x
    x = 9,433,060,997.51/109,982.76
  6. Step 6: Final answer
    x = 85,768.54

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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.