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Finding the Fourth Proportional to 208,346.96, 312,495.64 and 54,462.80

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Solution

The fourth proportional to 208,346.96, 312,495.64 and 54,462.80 is: 81,687.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,346.96 : 312,495.64 = 54,462.80 : x
  2. Step 2: Convert to fraction form
    208,346.96/312,495.64 = 54,462.80/x
  3. Step 3: Cross multiply
    208,346.96x = 312,495.64 × 54,462.80
  4. Step 4: Simplify right side
    208,346.96x = 17,019,387,542.19
  5. Step 5: Solve for x
    x = 17,019,387,542.19/208,346.96
  6. Step 6: Final answer
    x = 81,687.72

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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.