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Finding the Fourth Proportional to 141,872.64, 212,845.68 and 53,133.12

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Solution

The fourth proportional to 141,872.64, 212,845.68 and 53,133.12 is: 79,713.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,872.64 : 212,845.68 = 53,133.12 : x
  2. Step 2: Convert to fraction form
    141,872.64/212,845.68 = 53,133.12/x
  3. Step 3: Cross multiply
    141,872.64x = 212,845.68 × 53,133.12
  4. Step 4: Simplify right side
    141,872.64x = 11,309,155,056.92
  5. Step 5: Solve for x
    x = 11,309,155,056.92/141,872.64
  6. Step 6: Final answer
    x = 79,713.43

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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.