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Finding the Fourth Proportional to 214,763.94, 322,018.29 and 81,653.94

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Solution

The fourth proportional to 214,763.94, 322,018.29 and 81,653.94 is: 122,432.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,763.94 : 322,018.29 = 81,653.94 : x
  2. Step 2: Convert to fraction form
    214,763.94/322,018.29 = 81,653.94/x
  3. Step 3: Cross multiply
    214,763.94x = 322,018.29 × 81,653.94
  4. Step 4: Simplify right side
    214,763.94x = 26,294,062,130.56
  5. Step 5: Solve for x
    x = 26,294,062,130.56/214,763.94
  6. Step 6: Final answer
    x = 122,432.39

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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.