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Finding the Fourth Proportional to 205,244, 307,787.53 and 98,597.57

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Solution

The fourth proportional to 205,244, 307,787.53 and 98,597.57 is: 147,858.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,244 : 307,787.53 = 98,597.57 : x
  2. Step 2: Convert to fraction form
    205,244/307,787.53 = 98,597.57/x
  3. Step 3: Cross multiply
    205,244x = 307,787.53 × 98,597.57
  4. Step 4: Simplify right side
    205,244x = 30,347,102,534.30
  5. Step 5: Solve for x
    x = 30,347,102,534.30/205,244
  6. Step 6: Final answer
    x = 147,858.66

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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.