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Finding the Fourth Proportional to 199,492.96, 275,051.28 and 127,755.04

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Solution

The fourth proportional to 199,492.96, 275,051.28 and 127,755.04 is: 176,142.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,492.96 : 275,051.28 = 127,755.04 : x
  2. Step 2: Convert to fraction form
    199,492.96/275,051.28 = 127,755.04/x
  3. Step 3: Cross multiply
    199,492.96x = 275,051.28 × 127,755.04
  4. Step 4: Simplify right side
    199,492.96x = 35,139,187,278.45
  5. Step 5: Solve for x
    x = 35,139,187,278.45/199,492.96
  6. Step 6: Final answer
    x = 176,142.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.