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Finding the Fourth Proportional to 84,346.31, 116,322.52 and 69,983.40

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Solution

The fourth proportional to 84,346.31, 116,322.52 and 69,983.40 is: 96,514.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,346.31 : 116,322.52 = 69,983.40 : x
  2. Step 2: Convert to fraction form
    84,346.31/116,322.52 = 69,983.40/x
  3. Step 3: Cross multiply
    84,346.31x = 116,322.52 × 69,983.40
  4. Step 4: Simplify right side
    84,346.31x = 8,140,645,446.17
  5. Step 5: Solve for x
    x = 8,140,645,446.17/84,346.31
  6. Step 6: Final answer
    x = 96,514.54

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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.