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Finding the Fourth Proportional to 345,178.09, 517,763.03 and 89,009.31

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Solution

The fourth proportional to 345,178.09, 517,763.03 and 89,009.31 is: 133,512.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,178.09 : 517,763.03 = 89,009.31 : x
  2. Step 2: Convert to fraction form
    345,178.09/517,763.03 = 89,009.31/x
  3. Step 3: Cross multiply
    345,178.09x = 517,763.03 × 89,009.31
  4. Step 4: Simplify right side
    345,178.09x = 46,085,731,540.37
  5. Step 5: Solve for x
    x = 46,085,731,540.37/345,178.09
  6. Step 6: Final answer
    x = 133,512.91

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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.