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Finding the Fourth Proportional to 141,953, 212,965.50 and 53,206.76

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Solution

The fourth proportional to 141,953, 212,965.50 and 53,206.76 is: 79,823.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,953 : 212,965.50 = 53,206.76 : x
  2. Step 2: Convert to fraction form
    141,953/212,965.50 = 53,206.76/x
  3. Step 3: Cross multiply
    141,953x = 212,965.50 × 53,206.76
  4. Step 4: Simplify right side
    141,953x = 11,331,204,246.78
  5. Step 5: Solve for x
    x = 11,331,204,246.78/141,953
  6. Step 6: Final answer
    x = 79,823.63

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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.