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Finding the Fourth Proportional to 208,380.99, 312,229.76 and 88,342.02

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Solution

The fourth proportional to 208,380.99, 312,229.76 and 88,342.02 is: 132,368.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,380.99 : 312,229.76 = 88,342.02 : x
  2. Step 2: Convert to fraction form
    208,380.99/312,229.76 = 88,342.02/x
  3. Step 3: Cross multiply
    208,380.99x = 312,229.76 × 88,342.02
  4. Step 4: Simplify right side
    208,380.99x = 27,583,007,260.81
  5. Step 5: Solve for x
    x = 27,583,007,260.81/208,380.99
  6. Step 6: Final answer
    x = 132,368.16

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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.