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Finding the Fourth Proportional to 116,220.83, 160,380 and 65,234.57

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Solution

The fourth proportional to 116,220.83, 160,380 and 65,234.57 is: 90,021.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,220.83 : 160,380 = 65,234.57 : x
  2. Step 2: Convert to fraction form
    116,220.83/160,380 = 65,234.57/x
  3. Step 3: Cross multiply
    116,220.83x = 160,380 × 65,234.57
  4. Step 4: Simplify right side
    116,220.83x = 10,462,319,534.70
  5. Step 5: Solve for x
    x = 10,462,319,534.70/116,220.83
  6. Step 6: Final answer
    x = 90,021.04

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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.