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Finding the Fourth Proportional to 212,849.60, 293,767.44 and 128,013.44

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Solution

The fourth proportional to 212,849.60, 293,767.44 and 128,013.44 is: 176,679.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,849.60 : 293,767.44 = 128,013.44 : x
  2. Step 2: Convert to fraction form
    212,849.60/293,767.44 = 128,013.44/x
  3. Step 3: Cross multiply
    212,849.60x = 293,767.44 × 128,013.44
  4. Step 4: Simplify right side
    212,849.60x = 37,606,180,554.39
  5. Step 5: Solve for x
    x = 37,606,180,554.39/212,849.60
  6. Step 6: Final answer
    x = 176,679.59

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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.