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Finding the Fourth Proportional to 156,399.75, 215,830.44 and 84,777.93

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Solution

The fourth proportional to 156,399.75, 215,830.44 and 84,777.93 is: 116,992.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,399.75 : 215,830.44 = 84,777.93 : x
  2. Step 2: Convert to fraction form
    156,399.75/215,830.44 = 84,777.93/x
  3. Step 3: Cross multiply
    156,399.75x = 215,830.44 × 84,777.93
  4. Step 4: Simplify right side
    156,399.75x = 18,297,657,934.19
  5. Step 5: Solve for x
    x = 18,297,657,934.19/156,399.75
  6. Step 6: Final answer
    x = 116,992.88

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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.