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Finding the Fourth Proportional to 208,157.77, 312,237.47 and 50,385.97

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Solution

The fourth proportional to 208,157.77, 312,237.47 and 50,385.97 is: 75,579.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,157.77 : 312,237.47 = 50,385.97 : x
  2. Step 2: Convert to fraction form
    208,157.77/312,237.47 = 50,385.97/x
  3. Step 3: Cross multiply
    208,157.77x = 312,237.47 × 50,385.97
  4. Step 4: Simplify right side
    208,157.77x = 15,732,387,796.30
  5. Step 5: Solve for x
    x = 15,732,387,796.30/208,157.77
  6. Step 6: Final answer
    x = 75,579.15

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1.5x scale

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.