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Finding the Fourth Proportional to 208,640.20, 312,830.70 and 119,849.80

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Solution

The fourth proportional to 208,640.20, 312,830.70 and 119,849.80 is: 179,700.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,640.20 : 312,830.70 = 119,849.80 : x
  2. Step 2: Convert to fraction form
    208,640.20/312,830.70 = 119,849.80/x
  3. Step 3: Cross multiply
    208,640.20x = 312,830.70 × 119,849.80
  4. Step 4: Simplify right side
    208,640.20x = 37,492,696,828.86
  5. Step 5: Solve for x
    x = 37,492,696,828.86/208,640.20
  6. Step 6: Final answer
    x = 179,700.25

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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.