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Finding the Fourth Proportional to 71,785.71, 107,671.01 and 19,200.51

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Solution

The fourth proportional to 71,785.71, 107,671.01 and 19,200.51 is: 28,798.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,785.71 : 107,671.01 = 19,200.51 : x
  2. Step 2: Convert to fraction form
    71,785.71/107,671.01 = 19,200.51/x
  3. Step 3: Cross multiply
    71,785.71x = 107,671.01 × 19,200.51
  4. Step 4: Simplify right side
    71,785.71x = 2,067,338,208.21
  5. Step 5: Solve for x
    x = 2,067,338,208.21/71,785.71
  6. Step 6: Final answer
    x = 28,798.74

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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.