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Finding the Fourth Proportional to 223,702.60, 308,711 and 121,728.88

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Solution

The fourth proportional to 223,702.60, 308,711 and 121,728.88 is: 167,986.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,702.60 : 308,711 = 121,728.88 : x
  2. Step 2: Convert to fraction form
    223,702.60/308,711 = 121,728.88/x
  3. Step 3: Cross multiply
    223,702.60x = 308,711 × 121,728.88
  4. Step 4: Simplify right side
    223,702.60x = 37,579,044,273.68
  5. Step 5: Solve for x
    x = 37,579,044,273.68/223,702.60
  6. Step 6: Final answer
    x = 167,986.62

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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.