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Finding the Fourth Proportional to 116,775, 161,175.74 and 76,465.35

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Solution

The fourth proportional to 116,775, 161,175.74 and 76,465.35 is: 105,539.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,775 : 161,175.74 = 76,465.35 : x
  2. Step 2: Convert to fraction form
    116,775/161,175.74 = 76,465.35/x
  3. Step 3: Cross multiply
    116,775x = 161,175.74 × 76,465.35
  4. Step 4: Simplify right side
    116,775x = 12,324,358,988.28
  5. Step 5: Solve for x
    x = 12,324,358,988.28/116,775
  6. Step 6: Final answer
    x = 105,539.36

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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.