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Finding the Fourth Proportional to 226,220, 312,196.56 and 125,624.48

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Solution

The fourth proportional to 226,220, 312,196.56 and 125,624.48 is: 173,368.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,220 : 312,196.56 = 125,624.48 : x
  2. Step 2: Convert to fraction form
    226,220/312,196.56 = 125,624.48/x
  3. Step 3: Cross multiply
    226,220x = 312,196.56 × 125,624.48
  4. Step 4: Simplify right side
    226,220x = 39,219,530,507.79
  5. Step 5: Solve for x
    x = 39,219,530,507.79/226,220
  6. Step 6: Final answer
    x = 173,368.98

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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.