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Finding the Fourth Proportional to 212,809.52, 293,676.09 and 117,315.92

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Solution

The fourth proportional to 212,809.52, 293,676.09 and 117,315.92 is: 161,895.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,809.52 : 293,676.09 = 117,315.92 : x
  2. Step 2: Convert to fraction form
    212,809.52/293,676.09 = 117,315.92/x
  3. Step 3: Cross multiply
    212,809.52x = 293,676.09 × 117,315.92
  4. Step 4: Simplify right side
    212,809.52x = 34,452,880,680.35
  5. Step 5: Solve for x
    x = 34,452,880,680.35/212,809.52
  6. Step 6: Final answer
    x = 161,895.39

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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.