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Finding the Fourth Proportional to 128,340, 192,587.76 and 54,468

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Solution

The fourth proportional to 128,340, 192,587.76 and 54,468 is: 81,735.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,340 : 192,587.76 = 54,468 : x
  2. Step 2: Convert to fraction form
    128,340/192,587.76 = 54,468/x
  3. Step 3: Cross multiply
    128,340x = 192,587.76 × 54,468
  4. Step 4: Simplify right side
    128,340x = 10,489,870,111.68
  5. Step 5: Solve for x
    x = 10,489,870,111.68/128,340
  6. Step 6: Final answer
    x = 81,735.00

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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.