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Finding the Fourth Proportional to 105,755, 158,615.48 and 30,857.56

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Solution

The fourth proportional to 105,755, 158,615.48 and 30,857.56 is: 46,281.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,755 : 158,615.48 = 30,857.56 : x
  2. Step 2: Convert to fraction form
    105,755/158,615.48 = 30,857.56/x
  3. Step 3: Cross multiply
    105,755x = 158,615.48 × 30,857.56
  4. Step 4: Simplify right side
    105,755x = 4,894,486,691.03
  5. Step 5: Solve for x
    x = 4,894,486,691.03/105,755
  6. Step 6: Final answer
    x = 46,281.37

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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.