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Finding the Fourth Proportional to 253,339.89, 380,141.15 and 111,285.06

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Solution

The fourth proportional to 253,339.89, 380,141.15 and 111,285.06 is: 166,985.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,339.89 : 380,141.15 = 111,285.06 : x
  2. Step 2: Convert to fraction form
    253,339.89/380,141.15 = 111,285.06/x
  3. Step 3: Cross multiply
    253,339.89x = 380,141.15 × 111,285.06
  4. Step 4: Simplify right side
    253,339.89x = 42,304,030,129.79
  5. Step 5: Solve for x
    x = 42,304,030,129.79/253,339.89
  6. Step 6: Final answer
    x = 166,985.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.