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Finding the Fourth Proportional to 56,128, 84,192.64 and 19,194.88

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Solution

The fourth proportional to 56,128, 84,192.64 and 19,194.88 is: 28,792.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,128 : 84,192.64 = 19,194.88 : x
  2. Step 2: Convert to fraction form
    56,128/84,192.64 = 19,194.88/x
  3. Step 3: Cross multiply
    56,128x = 84,192.64 × 19,194.88
  4. Step 4: Simplify right side
    56,128x = 1,616,067,621.68
  5. Step 5: Solve for x
    x = 1,616,067,621.68/56,128
  6. Step 6: Final answer
    x = 28,792.54

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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.