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Finding the Fourth Proportional to 128,083.60, 192,145.65 and 43,851.70

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Solution

The fourth proportional to 128,083.60, 192,145.65 and 43,851.70 is: 65,784.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,083.60 : 192,145.65 = 43,851.70 : x
  2. Step 2: Convert to fraction form
    128,083.60/192,145.65 = 43,851.70/x
  3. Step 3: Cross multiply
    128,083.60x = 192,145.65 × 43,851.70
  4. Step 4: Simplify right side
    128,083.60x = 8,425,913,400.11
  5. Step 5: Solve for x
    x = 8,425,913,400.11/128,083.60
  6. Step 6: Final answer
    x = 65,784.48

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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.