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Finding the Fourth Proportional to 208,053.70, 311,898.30 and 141,277.30

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Solution

The fourth proportional to 208,053.70, 311,898.30 and 141,277.30 is: 211,792.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,053.70 : 311,898.30 = 141,277.30 : x
  2. Step 2: Convert to fraction form
    208,053.70/311,898.30 = 141,277.30/x
  3. Step 3: Cross multiply
    208,053.70x = 311,898.30 × 141,277.30
  4. Step 4: Simplify right side
    208,053.70x = 44,064,149,698.59
  5. Step 5: Solve for x
    x = 44,064,149,698.59/208,053.70
  6. Step 6: Final answer
    x = 211,792.19

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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.