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Finding the Fourth Proportional to 156,197, 215,551.54 and 84,577

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Solution

The fourth proportional to 156,197, 215,551.54 and 84,577 is: 116,716.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,197 : 215,551.54 = 84,577 : x
  2. Step 2: Convert to fraction form
    156,197/215,551.54 = 84,577/x
  3. Step 3: Cross multiply
    156,197x = 215,551.54 × 84,577
  4. Step 4: Simplify right side
    156,197x = 18,230,702,598.58
  5. Step 5: Solve for x
    x = 18,230,702,598.58/156,197
  6. Step 6: Final answer
    x = 116,716.09

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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.