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Finding the Fourth Proportional to 117,640.60, 176,201.70 and 82,389.40

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Solution

The fourth proportional to 117,640.60, 176,201.70 and 82,389.40 is: 123,402.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,640.60 : 176,201.70 = 82,389.40 : x
  2. Step 2: Convert to fraction form
    117,640.60/176,201.70 = 82,389.40/x
  3. Step 3: Cross multiply
    117,640.60x = 176,201.70 × 82,389.40
  4. Step 4: Simplify right side
    117,640.60x = 14,517,152,341.98
  5. Step 5: Solve for x
    x = 14,517,152,341.98/117,640.60
  6. Step 6: Final answer
    x = 123,402.57

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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.