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Finding the Fourth Proportional to 213,077.28, 319,667.92 and 70,922.28

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Solution

The fourth proportional to 213,077.28, 319,667.92 and 70,922.28 is: 106,400.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,077.28 : 319,667.92 = 70,922.28 : x
  2. Step 2: Convert to fraction form
    213,077.28/319,667.92 = 70,922.28/x
  3. Step 3: Cross multiply
    213,077.28x = 319,667.92 × 70,922.28
  4. Step 4: Simplify right side
    213,077.28x = 22,671,577,729.26
  5. Step 5: Solve for x
    x = 22,671,577,729.26/213,077.28
  6. Step 6: Final answer
    x = 106,400.73

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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.