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Finding the Fourth Proportional to 109,491.80, 164,237.70 and 57,003.80

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Solution

The fourth proportional to 109,491.80, 164,237.70 and 57,003.80 is: 85,505.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,491.80 : 164,237.70 = 57,003.80 : x
  2. Step 2: Convert to fraction form
    109,491.80/164,237.70 = 57,003.80/x
  3. Step 3: Cross multiply
    109,491.80x = 164,237.70 × 57,003.80
  4. Step 4: Simplify right side
    109,491.80x = 9,362,173,003.26
  5. Step 5: Solve for x
    x = 9,362,173,003.26/109,491.80
  6. Step 6: Final answer
    x = 85,505.70

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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.