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Finding the Fourth Proportional to 208,502.40, 312,907.20 and 83,932.80

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Solution

The fourth proportional to 208,502.40, 312,907.20 and 83,932.80 is: 125,961.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,502.40 : 312,907.20 = 83,932.80 : x
  2. Step 2: Convert to fraction form
    208,502.40/312,907.20 = 83,932.80/x
  3. Step 3: Cross multiply
    208,502.40x = 312,907.20 × 83,932.80
  4. Step 4: Simplify right side
    208,502.40x = 26,263,177,436.16
  5. Step 5: Solve for x
    x = 26,263,177,436.16/208,502.40
  6. Step 6: Final answer
    x = 125,961.03

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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.