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Finding the Fourth Proportional to 214,978.40, 322,237.20 and 81,807.20

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Solution

The fourth proportional to 214,978.40, 322,237.20 and 81,807.20 is: 122,623.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,978.40 : 322,237.20 = 81,807.20 : x
  2. Step 2: Convert to fraction form
    214,978.40/322,237.20 = 81,807.20/x
  3. Step 3: Cross multiply
    214,978.40x = 322,237.20 × 81,807.20
  4. Step 4: Simplify right side
    214,978.40x = 26,361,323,067.84
  5. Step 5: Solve for x
    x = 26,361,323,067.84/214,978.40
  6. Step 6: Final answer
    x = 122,623.12

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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.