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Finding the Fourth Proportional to 116,486, 160,763.64 and 71,774

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Solution

The fourth proportional to 116,486, 160,763.64 and 71,774 is: 99,056.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,486 : 160,763.64 = 71,774 : x
  2. Step 2: Convert to fraction form
    116,486/160,763.64 = 71,774/x
  3. Step 3: Cross multiply
    116,486x = 160,763.64 × 71,774
  4. Step 4: Simplify right side
    116,486x = 11,538,649,497.36
  5. Step 5: Solve for x
    x = 11,538,649,497.36/116,486
  6. Step 6: Final answer
    x = 99,056.11

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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.