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Finding the Fourth Proportional to 106,278.48, 159,308.37 and 47,142

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Solution

The fourth proportional to 106,278.48, 159,308.37 and 47,142 is: 70,664.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,278.48 : 159,308.37 = 47,142 : x
  2. Step 2: Convert to fraction form
    106,278.48/159,308.37 = 47,142/x
  3. Step 3: Cross multiply
    106,278.48x = 159,308.37 × 47,142
  4. Step 4: Simplify right side
    106,278.48x = 7,510,115,178.54
  5. Step 5: Solve for x
    x = 7,510,115,178.54/106,278.48
  6. Step 6: Final answer
    x = 70,664.50

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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.