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Finding the Fourth Proportional to 208,223.40, 311,897.70 and 114,619.80

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Solution

The fourth proportional to 208,223.40, 311,897.70 and 114,619.80 is: 171,688.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,223.40 : 311,897.70 = 114,619.80 : x
  2. Step 2: Convert to fraction form
    208,223.40/311,897.70 = 114,619.80/x
  3. Step 3: Cross multiply
    208,223.40x = 311,897.70 × 114,619.80
  4. Step 4: Simplify right side
    208,223.40x = 35,749,651,994.46
  5. Step 5: Solve for x
    x = 35,749,651,994.46/208,223.40
  6. Step 6: Final answer
    x = 171,688.93

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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.