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Finding the Fourth Proportional to 216,159.86, 298,305.63 and 135,590.78

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Solution

The fourth proportional to 216,159.86, 298,305.63 and 135,590.78 is: 187,118.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,159.86 : 298,305.63 = 135,590.78 : x
  2. Step 2: Convert to fraction form
    216,159.86/298,305.63 = 135,590.78/x
  3. Step 3: Cross multiply
    216,159.86x = 298,305.63 × 135,590.78
  4. Step 4: Simplify right side
    216,159.86x = 40,447,491,558.56
  5. Step 5: Solve for x
    x = 40,447,491,558.56/216,159.86
  6. Step 6: Final answer
    x = 187,118.42

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1.5x scale

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.