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Finding the Fourth Proportional to 117,079.62, 161,526.39 and 76,815.78

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Solution

The fourth proportional to 117,079.62, 161,526.39 and 76,815.78 is: 105,977.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,079.62 : 161,526.39 = 76,815.78 : x
  2. Step 2: Convert to fraction form
    117,079.62/161,526.39 = 76,815.78/x
  3. Step 3: Cross multiply
    117,079.62x = 161,526.39 × 76,815.78
  4. Step 4: Simplify right side
    117,079.62x = 12,407,775,638.43
  5. Step 5: Solve for x
    x = 12,407,775,638.43/117,079.62
  6. Step 6: Final answer
    x = 105,977.25

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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.