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Finding the Fourth Proportional to 208,437.60, 312,195.60 and 161,320.80

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Solution

The fourth proportional to 208,437.60, 312,195.60 and 161,320.80 is: 241,624.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,437.60 : 312,195.60 = 161,320.80 : x
  2. Step 2: Convert to fraction form
    208,437.60/312,195.60 = 161,320.80/x
  3. Step 3: Cross multiply
    208,437.60x = 312,195.60 × 161,320.80
  4. Step 4: Simplify right side
    208,437.60x = 50,363,643,948.48
  5. Step 5: Solve for x
    x = 50,363,643,948.48/208,437.60
  6. Step 6: Final answer
    x = 241,624.56

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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.