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Finding the Fourth Proportional to 208,422.48, 287,624.34 and 112,929.87

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Solution

The fourth proportional to 208,422.48, 287,624.34 and 112,929.87 is: 155,843.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,422.48 : 287,624.34 = 112,929.87 : x
  2. Step 2: Convert to fraction form
    208,422.48/287,624.34 = 112,929.87/x
  3. Step 3: Cross multiply
    208,422.48x = 287,624.34 × 112,929.87
  4. Step 4: Simplify right side
    208,422.48x = 32,481,379,325.04
  5. Step 5: Solve for x
    x = 32,481,379,325.04/208,422.48
  6. Step 6: Final answer
    x = 155,843.93

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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.