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Finding the Fourth Proportional to 106,434.40, 159,709.20 and 47,279.20

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Solution

The fourth proportional to 106,434.40, 159,709.20 and 47,279.20 is: 70,944.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,434.40 : 159,709.20 = 47,279.20 : x
  2. Step 2: Convert to fraction form
    106,434.40/159,709.20 = 47,279.20/x
  3. Step 3: Cross multiply
    106,434.40x = 159,709.20 × 47,279.20
  4. Step 4: Simplify right side
    106,434.40x = 7,550,923,208.64
  5. Step 5: Solve for x
    x = 7,550,923,208.64/106,434.40
  6. Step 6: Final answer
    x = 70,944.39

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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.