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Finding the Fourth Proportional to 208,591.30, 312,783.34 and 66,418.02

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Solution

The fourth proportional to 208,591.30, 312,783.34 and 66,418.02 is: 99,594.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,591.30 : 312,783.34 = 66,418.02 : x
  2. Step 2: Convert to fraction form
    208,591.30/312,783.34 = 66,418.02/x
  3. Step 3: Cross multiply
    208,591.30x = 312,783.34 × 66,418.02
  4. Step 4: Simplify right side
    208,591.30x = 20,774,449,210.57
  5. Step 5: Solve for x
    x = 20,774,449,210.57/208,591.30
  6. Step 6: Final answer
    x = 99,594.03

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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.