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Finding the Fourth Proportional to 208,939.97, 313,454.90 and 64,842.93

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Solution

The fourth proportional to 208,939.97, 313,454.90 and 64,842.93 is: 97,278.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,939.97 : 313,454.90 = 64,842.93 : x
  2. Step 2: Convert to fraction form
    208,939.97/313,454.90 = 64,842.93/x
  3. Step 3: Cross multiply
    208,939.97x = 313,454.90 × 64,842.93
  4. Step 4: Simplify right side
    208,939.97x = 20,325,334,300.96
  5. Step 5: Solve for x
    x = 20,325,334,300.96/208,939.97
  6. Step 6: Final answer
    x = 97,278.34

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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.