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Finding the Fourth Proportional to 141,783, 212,711.40 and 53,043.44

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Solution

The fourth proportional to 141,783, 212,711.40 and 53,043.44 is: 79,578.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,783 : 212,711.40 = 53,043.44 : x
  2. Step 2: Convert to fraction form
    141,783/212,711.40 = 53,043.44/x
  3. Step 3: Cross multiply
    141,783x = 212,711.40 × 53,043.44
  4. Step 4: Simplify right side
    141,783x = 11,282,944,383.22
  5. Step 5: Solve for x
    x = 11,282,944,383.22/141,783
  6. Step 6: Final answer
    x = 79,578.96

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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.