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Finding the Fourth Proportional to 223,432.86, 335,043.72 and 81,178.98

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Solution

The fourth proportional to 223,432.86, 335,043.72 and 81,178.98 is: 121,730.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,432.86 : 335,043.72 = 81,178.98 : x
  2. Step 2: Convert to fraction form
    223,432.86/335,043.72 = 81,178.98/x
  3. Step 3: Cross multiply
    223,432.86x = 335,043.72 × 81,178.98
  4. Step 4: Simplify right side
    223,432.86x = 27,198,507,445.01
  5. Step 5: Solve for x
    x = 27,198,507,445.01/223,432.86
  6. Step 6: Final answer
    x = 121,730.11

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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.