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Finding the Fourth Proportional to 221,693.16, 305,826.94 and 131,005.26

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Solution

The fourth proportional to 221,693.16, 305,826.94 and 131,005.26 is: 180,722.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,693.16 : 305,826.94 = 131,005.26 : x
  2. Step 2: Convert to fraction form
    221,693.16/305,826.94 = 131,005.26/x
  3. Step 3: Cross multiply
    221,693.16x = 305,826.94 × 131,005.26
  4. Step 4: Simplify right side
    221,693.16x = 40,064,937,789.70
  5. Step 5: Solve for x
    x = 40,064,937,789.70/221,693.16
  6. Step 6: Final answer
    x = 180,722.48

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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.