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Finding the Fourth Proportional to 225,700, 311,466.05 and 125,098

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Solution

The fourth proportional to 225,700, 311,466.05 and 125,098 is: 172,635.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,700 : 311,466.05 = 125,098 : x
  2. Step 2: Convert to fraction form
    225,700/311,466.05 = 125,098/x
  3. Step 3: Cross multiply
    225,700x = 311,466.05 × 125,098
  4. Step 4: Simplify right side
    225,700x = 38,963,779,297.41
  5. Step 5: Solve for x
    x = 38,963,779,297.41/225,700
  6. Step 6: Final answer
    x = 172,635.26

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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.