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Finding the Fourth Proportional to 128,242.78, 192,403.05 and 61,664.02

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Solution

The fourth proportional to 128,242.78, 192,403.05 and 61,664.02 is: 92,514.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,242.78 : 192,403.05 = 61,664.02 : x
  2. Step 2: Convert to fraction form
    128,242.78/192,403.05 = 61,664.02/x
  3. Step 3: Cross multiply
    128,242.78x = 192,403.05 × 61,664.02
  4. Step 4: Simplify right side
    128,242.78x = 11,864,345,523.26
  5. Step 5: Solve for x
    x = 11,864,345,523.26/128,242.78
  6. Step 6: Final answer
    x = 92,514.72

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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.