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Finding the Fourth Proportional to 155,367.30, 214,178.67 and 109,905.30

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Solution

The fourth proportional to 155,367.30, 214,178.67 and 109,905.30 is: 151,507.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,367.30 : 214,178.67 = 109,905.30 : x
  2. Step 2: Convert to fraction form
    155,367.30/214,178.67 = 109,905.30/x
  3. Step 3: Cross multiply
    155,367.30x = 214,178.67 × 109,905.30
  4. Step 4: Simplify right side
    155,367.30x = 23,539,370,979.95
  5. Step 5: Solve for x
    x = 23,539,370,979.95/155,367.30
  6. Step 6: Final answer
    x = 151,507.88

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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.