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Finding the Fourth Proportional to 208,090.50, 312,187.59 and 60,346.50

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Solution

The fourth proportional to 208,090.50, 312,187.59 and 60,346.50 is: 90,534.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,090.50 : 312,187.59 = 60,346.50 : x
  2. Step 2: Convert to fraction form
    208,090.50/312,187.59 = 60,346.50/x
  3. Step 3: Cross multiply
    208,090.50x = 312,187.59 × 60,346.50
  4. Step 4: Simplify right side
    208,090.50x = 18,839,428,399.94
  5. Step 5: Solve for x
    x = 18,839,428,399.94/208,090.50
  6. Step 6: Final answer
    x = 90,534.78

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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.