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Finding the Fourth Proportional to 84,712.80, 116,884.80 and 51,178.08

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Solution

The fourth proportional to 84,712.80, 116,884.80 and 51,178.08 is: 70,614.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,712.80 : 116,884.80 = 51,178.08 : x
  2. Step 2: Convert to fraction form
    84,712.80/116,884.80 = 51,178.08/x
  3. Step 3: Cross multiply
    84,712.80x = 116,884.80 × 51,178.08
  4. Step 4: Simplify right side
    84,712.80x = 5,981,939,645.18
  5. Step 5: Solve for x
    x = 5,981,939,645.18/84,712.80
  6. Step 6: Final answer
    x = 70,614.35

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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.