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Finding the Fourth Proportional to 212,757.72, 293,291.82 and 136,267.80

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Solution

The fourth proportional to 212,757.72, 293,291.82 and 136,267.80 is: 187,848.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,757.72 : 293,291.82 = 136,267.80 : x
  2. Step 2: Convert to fraction form
    212,757.72/293,291.82 = 136,267.80/x
  3. Step 3: Cross multiply
    212,757.72x = 293,291.82 × 136,267.80
  4. Step 4: Simplify right side
    212,757.72x = 39,966,231,069.40
  5. Step 5: Solve for x
    x = 39,966,231,069.40/212,757.72
  6. Step 6: Final answer
    x = 187,848.56

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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.