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Finding the Fourth Proportional to 208,516.02, 287,753.16 and 113,021.88

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Solution

The fourth proportional to 208,516.02, 287,753.16 and 113,021.88 is: 155,970.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,516.02 : 287,753.16 = 113,021.88 : x
  2. Step 2: Convert to fraction form
    208,516.02/287,753.16 = 113,021.88/x
  3. Step 3: Cross multiply
    208,516.02x = 287,753.16 × 113,021.88
  4. Step 4: Simplify right side
    208,516.02x = 32,522,403,119.14
  5. Step 5: Solve for x
    x = 32,522,403,119.14/208,516.02
  6. Step 6: Final answer
    x = 155,970.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.