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Finding the Fourth Proportional to 109,980.76, 164,675.90 and 57,279.54

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Solution

The fourth proportional to 109,980.76, 164,675.90 and 57,279.54 is: 85,765.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,980.76 : 164,675.90 = 57,279.54 : x
  2. Step 2: Convert to fraction form
    109,980.76/164,675.90 = 57,279.54/x
  3. Step 3: Cross multiply
    109,980.76x = 164,675.90 × 57,279.54
  4. Step 4: Simplify right side
    109,980.76x = 9,432,559,801.09
  5. Step 5: Solve for x
    x = 9,432,559,801.09/109,980.76
  6. Step 6: Final answer
    x = 85,765.54

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1.5x scale

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.