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Finding the Fourth Proportional to 146,023.50, 201,512.43 and 78,955.50

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Solution

The fourth proportional to 146,023.50, 201,512.43 and 78,955.50 is: 108,958.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,023.50 : 201,512.43 = 78,955.50 : x
  2. Step 2: Convert to fraction form
    146,023.50/201,512.43 = 78,955.50/x
  3. Step 3: Cross multiply
    146,023.50x = 201,512.43 × 78,955.50
  4. Step 4: Simplify right side
    146,023.50x = 15,910,514,666.87
  5. Step 5: Solve for x
    x = 15,910,514,666.87/146,023.50
  6. Step 6: Final answer
    x = 108,958.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.