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Finding the Fourth Proportional to 84,780, 116,996.40 and 51,246

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Solution

The fourth proportional to 84,780, 116,996.40 and 51,246 is: 70,719.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,780 : 116,996.40 = 51,246 : x
  2. Step 2: Convert to fraction form
    84,780/116,996.40 = 51,246/x
  3. Step 3: Cross multiply
    84,780x = 116,996.40 × 51,246
  4. Step 4: Simplify right side
    84,780x = 5,995,597,514.40
  5. Step 5: Solve for x
    x = 5,995,597,514.40/84,780
  6. Step 6: Final answer
    x = 70,719.48

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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.