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Finding the Fourth Proportional to 156,215.80, 215,578.01 and 84,595.94

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Solution

The fourth proportional to 156,215.80, 215,578.01 and 84,595.94 is: 116,742.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,215.80 : 215,578.01 = 84,595.94 : x
  2. Step 2: Convert to fraction form
    156,215.80/215,578.01 = 84,595.94/x
  3. Step 3: Cross multiply
    156,215.80x = 215,578.01 × 84,595.94
  4. Step 4: Simplify right side
    156,215.80x = 18,237,024,399.28
  5. Step 5: Solve for x
    x = 18,237,024,399.28/156,215.80
  6. Step 6: Final answer
    x = 116,742.51

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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.