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Finding the Fourth Proportional to 166,842.36, 230,130 and 103,211.64

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Solution

The fourth proportional to 166,842.36, 230,130 and 103,211.64 is: 142,362.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,842.36 : 230,130 = 103,211.64 : x
  2. Step 2: Convert to fraction form
    166,842.36/230,130 = 103,211.64/x
  3. Step 3: Cross multiply
    166,842.36x = 230,130 × 103,211.64
  4. Step 4: Simplify right side
    166,842.36x = 23,752,094,713.20
  5. Step 5: Solve for x
    x = 23,752,094,713.20/166,842.36
  6. Step 6: Final answer
    x = 142,362.50

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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.