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Finding the Fourth Proportional to 116,674.98, 160,999.14 and 65,686.78

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Solution

The fourth proportional to 116,674.98, 160,999.14 and 65,686.78 is: 90,640.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,674.98 : 160,999.14 = 65,686.78 : x
  2. Step 2: Convert to fraction form
    116,674.98/160,999.14 = 65,686.78/x
  3. Step 3: Cross multiply
    116,674.98x = 160,999.14 × 65,686.78
  4. Step 4: Simplify right side
    116,674.98x = 10,575,515,089.37
  5. Step 5: Solve for x
    x = 10,575,515,089.37/116,674.98
  6. Step 6: Final answer
    x = 90,640.82

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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.