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Finding the Fourth Proportional to 268,392.96, 402,782.64 and 99,936.72

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Solution

The fourth proportional to 268,392.96, 402,782.64 and 99,936.72 is: 149,977.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,392.96 : 402,782.64 = 99,936.72 : x
  2. Step 2: Convert to fraction form
    268,392.96/402,782.64 = 99,936.72/x
  3. Step 3: Cross multiply
    268,392.96x = 402,782.64 × 99,936.72
  4. Step 4: Simplify right side
    268,392.96x = 40,252,775,914.54
  5. Step 5: Solve for x
    x = 40,252,775,914.54/268,392.96
  6. Step 6: Final answer
    x = 149,977.02

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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.