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Finding the Fourth Proportional to 208,511.76, 287,747.76 and 113,019.14

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Solution

The fourth proportional to 208,511.76, 287,747.76 and 113,019.14 is: 155,967.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,511.76 : 287,747.76 = 113,019.14 : x
  2. Step 2: Convert to fraction form
    208,511.76/287,747.76 = 113,019.14/x
  3. Step 3: Cross multiply
    208,511.76x = 287,747.76 × 113,019.14
  4. Step 4: Simplify right side
    208,511.76x = 32,521,004,372.13
  5. Step 5: Solve for x
    x = 32,521,004,372.13/208,511.76
  6. Step 6: Final answer
    x = 155,967.24

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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.