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Finding the Fourth Proportional to 142,313.88, 213,505.85 and 100,276.07

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Solution

The fourth proportional to 142,313.88, 213,505.85 and 100,276.07 is: 150,438.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,313.88 : 213,505.85 = 100,276.07 : x
  2. Step 2: Convert to fraction form
    142,313.88/213,505.85 = 100,276.07/x
  3. Step 3: Cross multiply
    142,313.88x = 213,505.85 × 100,276.07
  4. Step 4: Simplify right side
    142,313.88x = 21,409,526,743.17
  5. Step 5: Solve for x
    x = 21,409,526,743.17/142,313.88
  6. Step 6: Final answer
    x = 150,438.79

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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.