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Finding the Fourth Proportional to 156,473.11, 215,932.94 and 84,853.11

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Solution

The fourth proportional to 156,473.11, 215,932.94 and 84,853.11 is: 117,097.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,473.11 : 215,932.94 = 84,853.11 : x
  2. Step 2: Convert to fraction form
    156,473.11/215,932.94 = 84,853.11/x
  3. Step 3: Cross multiply
    156,473.11x = 215,932.94 × 84,853.11
  4. Step 4: Simplify right side
    156,473.11x = 18,322,580,006.51
  5. Step 5: Solve for x
    x = 18,322,580,006.51/156,473.11
  6. Step 6: Final answer
    x = 117,097.31

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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.