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Finding the Fourth Proportional to 141,831, 212,782.95 and 53,085.78

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Solution

The fourth proportional to 141,831, 212,782.95 and 53,085.78 is: 79,642.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,831 : 212,782.95 = 53,085.78 : x
  2. Step 2: Convert to fraction form
    141,831/212,782.95 = 53,085.78/x
  3. Step 3: Cross multiply
    141,831x = 212,782.95 × 53,085.78
  4. Step 4: Simplify right side
    141,831x = 11,295,748,871.45
  5. Step 5: Solve for x
    x = 11,295,748,871.45/141,831
  6. Step 6: Final answer
    x = 79,642.31

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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.