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Finding the Fourth Proportional to 230,769, 318,466.08 and 130,167

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Solution

The fourth proportional to 230,769, 318,466.08 and 130,167 is: 179,633.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,769 : 318,466.08 = 130,167 : x
  2. Step 2: Convert to fraction form
    230,769/318,466.08 = 130,167/x
  3. Step 3: Cross multiply
    230,769x = 318,466.08 × 130,167
  4. Step 4: Simplify right side
    230,769x = 41,453,774,235.36
  5. Step 5: Solve for x
    x = 41,453,774,235.36/230,769
  6. Step 6: Final answer
    x = 179,633.20

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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.