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Finding the Fourth Proportional to 52,201.63, 78,301.77 and 12,759.09

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Solution

The fourth proportional to 52,201.63, 78,301.77 and 12,759.09 is: 19,138.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,201.63 : 78,301.77 = 12,759.09 : x
  2. Step 2: Convert to fraction form
    52,201.63/78,301.77 = 12,759.09/x
  3. Step 3: Cross multiply
    52,201.63x = 78,301.77 × 12,759.09
  4. Step 4: Simplify right side
    52,201.63x = 999,059,330.59
  5. Step 5: Solve for x
    x = 999,059,330.59/52,201.63
  6. Step 6: Final answer
    x = 19,138.47

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1.5x scale

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.