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Finding the Fourth Proportional to 83,495.36, 115,219.31 and 47,678.37

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Solution

The fourth proportional to 83,495.36, 115,219.31 and 47,678.37 is: 65,793.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,495.36 : 115,219.31 = 47,678.37 : x
  2. Step 2: Convert to fraction form
    83,495.36/115,219.31 = 47,678.37/x
  3. Step 3: Cross multiply
    83,495.36x = 115,219.31 × 47,678.37
  4. Step 4: Simplify right side
    83,495.36x = 5,493,468,654.93
  5. Step 5: Solve for x
    x = 5,493,468,654.93/83,495.36
  6. Step 6: Final answer
    x = 65,793.70

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1.5x scale

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.