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Finding the Fourth Proportional to 105,729.60, 158,553.60 and 30,824.64

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Solution

The fourth proportional to 105,729.60, 158,553.60 and 30,824.64 is: 46,225.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,729.60 : 158,553.60 = 30,824.64 : x
  2. Step 2: Convert to fraction form
    105,729.60/158,553.60 = 30,824.64/x
  3. Step 3: Cross multiply
    105,729.60x = 158,553.60 × 30,824.64
  4. Step 4: Simplify right side
    105,729.60x = 4,887,357,640.70
  5. Step 5: Solve for x
    x = 4,887,357,640.70/105,729.60
  6. Step 6: Final answer
    x = 46,225.07

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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.