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Finding the Fourth Proportional to 227,442.80, 313,864.26 and 126,840.80

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Solution

The fourth proportional to 227,442.80, 313,864.26 and 126,840.80 is: 175,036.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,442.80 : 313,864.26 = 126,840.80 : x
  2. Step 2: Convert to fraction form
    227,442.80/313,864.26 = 126,840.80/x
  3. Step 3: Cross multiply
    227,442.80x = 313,864.26 × 126,840.80
  4. Step 4: Simplify right side
    227,442.80x = 39,810,793,829.81
  5. Step 5: Solve for x
    x = 39,810,793,829.81/227,442.80
  6. Step 6: Final answer
    x = 175,036.51

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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.