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Finding the Fourth Proportional to 192,755.12, 289,201.84 and 86,130.16

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Solution

The fourth proportional to 192,755.12, 289,201.84 and 86,130.16 is: 129,226.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,755.12 : 289,201.84 = 86,130.16 : x
  2. Step 2: Convert to fraction form
    192,755.12/289,201.84 = 86,130.16/x
  3. Step 3: Cross multiply
    192,755.12x = 289,201.84 × 86,130.16
  4. Step 4: Simplify right side
    192,755.12x = 24,908,999,813.16
  5. Step 5: Solve for x
    x = 24,908,999,813.16/192,755.12
  6. Step 6: Final answer
    x = 129,226.14

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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.