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Finding the Fourth Proportional to 146,356, 201,973.44 and 79,288

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Solution

The fourth proportional to 146,356, 201,973.44 and 79,288 is: 109,418.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,356 : 201,973.44 = 79,288 : x
  2. Step 2: Convert to fraction form
    146,356/201,973.44 = 79,288/x
  3. Step 3: Cross multiply
    146,356x = 201,973.44 × 79,288
  4. Step 4: Simplify right side
    146,356x = 16,014,070,110.72
  5. Step 5: Solve for x
    x = 16,014,070,110.72/146,356
  6. Step 6: Final answer
    x = 109,418.61

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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.