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Finding the Fourth Proportional to 228,613.91, 315,641.24 and 142,703.69

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Solution

The fourth proportional to 228,613.91, 315,641.24 and 142,703.69 is: 197,027.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,613.91 : 315,641.24 = 142,703.69 : x
  2. Step 2: Convert to fraction form
    228,613.91/315,641.24 = 142,703.69/x
  3. Step 3: Cross multiply
    228,613.91x = 315,641.24 × 142,703.69
  4. Step 4: Simplify right side
    228,613.91x = 45,043,167,372.45
  5. Step 5: Solve for x
    x = 45,043,167,372.45/228,613.91
  6. Step 6: Final answer
    x = 197,027.24

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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.