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Finding the Fourth Proportional to 208,423.33, 287,624.45 and 112,929.95

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Solution

The fourth proportional to 208,423.33, 287,624.45 and 112,929.95 is: 155,843.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,423.33 : 287,624.45 = 112,929.95 : x
  2. Step 2: Convert to fraction form
    208,423.33/287,624.45 = 112,929.95/x
  3. Step 3: Cross multiply
    208,423.33x = 287,624.45 × 112,929.95
  4. Step 4: Simplify right side
    208,423.33x = 32,481,414,757.28
  5. Step 5: Solve for x
    x = 32,481,414,757.28/208,423.33
  6. Step 6: Final answer
    x = 155,843.47

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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.