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Finding the Fourth Proportional to 253,960.85, 380,607.05 and 141,693.93

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Solution

The fourth proportional to 253,960.85, 380,607.05 and 141,693.93 is: 212,354.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,960.85 : 380,607.05 = 141,693.93 : x
  2. Step 2: Convert to fraction form
    253,960.85/380,607.05 = 141,693.93/x
  3. Step 3: Cross multiply
    253,960.85x = 380,607.05 × 141,693.93
  4. Step 4: Simplify right side
    253,960.85x = 53,929,707,991.74
  5. Step 5: Solve for x
    x = 53,929,707,991.74/253,960.85
  6. Step 6: Final answer
    x = 212,354.42

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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.