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Finding the Fourth Proportional to 214,802.88, 322,127.64 and 81,647.70

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Solution

The fourth proportional to 214,802.88, 322,127.64 and 81,647.70 is: 122,442.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,802.88 : 322,127.64 = 81,647.70 : x
  2. Step 2: Convert to fraction form
    214,802.88/322,127.64 = 81,647.70/x
  3. Step 3: Cross multiply
    214,802.88x = 322,127.64 × 81,647.70
  4. Step 4: Simplify right side
    214,802.88x = 26,300,980,912.43
  5. Step 5: Solve for x
    x = 26,300,980,912.43/214,802.88
  6. Step 6: Final answer
    x = 122,442.40

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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.