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Finding the Fourth Proportional to 211,155.64, 316,292.76 and 126,647.80

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Solution

The fourth proportional to 211,155.64, 316,292.76 and 126,647.80 is: 189,707.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,155.64 : 316,292.76 = 126,647.80 : x
  2. Step 2: Convert to fraction form
    211,155.64/316,292.76 = 126,647.80/x
  3. Step 3: Cross multiply
    211,155.64x = 316,292.76 × 126,647.80
  4. Step 4: Simplify right side
    211,155.64x = 40,057,782,209.93
  5. Step 5: Solve for x
    x = 40,057,782,209.93/211,155.64
  6. Step 6: Final answer
    x = 189,707.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.