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Finding the Fourth Proportional to 252,382.79, 378,492.26 and 83,857.86

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Solution

The fourth proportional to 252,382.79, 378,492.26 and 83,857.86 is: 125,759.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,382.79 : 378,492.26 = 83,857.86 : x
  2. Step 2: Convert to fraction form
    252,382.79/378,492.26 = 83,857.86/x
  3. Step 3: Cross multiply
    252,382.79x = 378,492.26 × 83,857.86
  4. Step 4: Simplify right side
    252,382.79x = 31,739,551,159.81
  5. Step 5: Solve for x
    x = 31,739,551,159.81/252,382.79
  6. Step 6: Final answer
    x = 125,759.57

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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.