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Finding the Fourth Proportional to 72,128.97, 108,193.86 and 19,538.91

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Solution

The fourth proportional to 72,128.97, 108,193.86 and 19,538.91 is: 29,308.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,128.97 : 108,193.86 = 19,538.91 : x
  2. Step 2: Convert to fraction form
    72,128.97/108,193.86 = 19,538.91/x
  3. Step 3: Cross multiply
    72,128.97x = 108,193.86 × 19,538.91
  4. Step 4: Simplify right side
    72,128.97x = 2,113,990,093.09
  5. Step 5: Solve for x
    x = 2,113,990,093.09/72,128.97
  6. Step 6: Final answer
    x = 29,308.47

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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.