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Finding the Fourth Proportional to 117,182, 161,719.80 and 72,478.64

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Solution

The fourth proportional to 117,182, 161,719.80 and 72,478.64 is: 100,025.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,182 : 161,719.80 = 72,478.64 : x
  2. Step 2: Convert to fraction form
    117,182/161,719.80 = 72,478.64/x
  3. Step 3: Cross multiply
    117,182x = 161,719.80 × 72,478.64
  4. Step 4: Simplify right side
    117,182x = 11,721,231,165.07
  5. Step 5: Solve for x
    x = 11,721,231,165.07/117,182
  6. Step 6: Final answer
    x = 100,025.87

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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.