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Finding the Fourth Proportional to 253,098.83, 379,834.77 and 119,978.57

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Solution

The fourth proportional to 253,098.83, 379,834.77 and 119,978.57 is: 180,056.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,098.83 : 379,834.77 = 119,978.57 : x
  2. Step 2: Convert to fraction form
    253,098.83/379,834.77 = 119,978.57/x
  3. Step 3: Cross multiply
    253,098.83x = 379,834.77 × 119,978.57
  4. Step 4: Simplify right side
    253,098.83x = 45,572,031,128.94
  5. Step 5: Solve for x
    x = 45,572,031,128.94/253,098.83
  6. Step 6: Final answer
    x = 180,056.27

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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.