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Finding the Fourth Proportional to 208,102.16, 287,181.48 and 112,609.88

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Solution

The fourth proportional to 208,102.16, 287,181.48 and 112,609.88 is: 155,401.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,102.16 : 287,181.48 = 112,609.88 : x
  2. Step 2: Convert to fraction form
    208,102.16/287,181.48 = 112,609.88/x
  3. Step 3: Cross multiply
    208,102.16x = 287,181.48 × 112,609.88
  4. Step 4: Simplify right side
    208,102.16x = 32,339,472,001.02
  5. Step 5: Solve for x
    x = 32,339,472,001.02/208,102.16
  6. Step 6: Final answer
    x = 155,401.90

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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.