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Finding the Fourth Proportional to 128,137.10, 192,224.02 and 39,398.06

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Solution

The fourth proportional to 128,137.10, 192,224.02 and 39,398.06 is: 59,102.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,137.10 : 192,224.02 = 39,398.06 : x
  2. Step 2: Convert to fraction form
    128,137.10/192,224.02 = 39,398.06/x
  3. Step 3: Cross multiply
    128,137.10x = 192,224.02 × 39,398.06
  4. Step 4: Simplify right side
    128,137.10x = 7,573,252,512.28
  5. Step 5: Solve for x
    x = 7,573,252,512.28/128,137.10
  6. Step 6: Final answer
    x = 59,102.73

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1.5x scale

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.