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Finding the Fourth Proportional to 128,135.16, 192,203.42 and 84,041.14

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Solution

The fourth proportional to 128,135.16, 192,203.42 and 84,041.14 is: 126,062.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,135.16 : 192,203.42 = 84,041.14 : x
  2. Step 2: Convert to fraction form
    128,135.16/192,203.42 = 84,041.14/x
  3. Step 3: Cross multiply
    128,135.16x = 192,203.42 × 84,041.14
  4. Step 4: Simplify right side
    128,135.16x = 16,152,994,528.70
  5. Step 5: Solve for x
    x = 16,152,994,528.70/128,135.16
  6. Step 6: Final answer
    x = 126,062.16

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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.