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Finding the Fourth Proportional to 117,072, 161,559.75 and 63,357

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Solution

The fourth proportional to 117,072, 161,559.75 and 63,357 is: 87,432.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,072 : 161,559.75 = 63,357 : x
  2. Step 2: Convert to fraction form
    117,072/161,559.75 = 63,357/x
  3. Step 3: Cross multiply
    117,072x = 161,559.75 × 63,357
  4. Step 4: Simplify right side
    117,072x = 10,235,941,080.75
  5. Step 5: Solve for x
    x = 10,235,941,080.75/117,072
  6. Step 6: Final answer
    x = 87,432.87

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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.