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Finding the Fourth Proportional to 156,196, 215,550.16 and 84,576

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Solution

The fourth proportional to 156,196, 215,550.16 and 84,576 is: 116,714.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,196 : 215,550.16 = 84,576 : x
  2. Step 2: Convert to fraction form
    156,196/215,550.16 = 84,576/x
  3. Step 3: Cross multiply
    156,196x = 215,550.16 × 84,576
  4. Step 4: Simplify right side
    156,196x = 18,230,370,332.16
  5. Step 5: Solve for x
    x = 18,230,370,332.16/156,196
  6. Step 6: Final answer
    x = 116,714.71

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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.