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Finding the Fourth Proportional to 145,622.09, 200,958.08 and 81,959.90

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Solution

The fourth proportional to 145,622.09, 200,958.08 and 81,959.90 is: 113,104.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,622.09 : 200,958.08 = 81,959.90 : x
  2. Step 2: Convert to fraction form
    145,622.09/200,958.08 = 81,959.90/x
  3. Step 3: Cross multiply
    145,622.09x = 200,958.08 × 81,959.90
  4. Step 4: Simplify right side
    145,622.09x = 16,470,502,726.40
  5. Step 5: Solve for x
    x = 16,470,502,726.40/145,622.09
  6. Step 6: Final answer
    x = 113,104.43

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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.