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Finding the Fourth Proportional to 120,846.19, 181,287.71 and 61,649.57

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Solution

The fourth proportional to 120,846.19, 181,287.71 and 61,649.57 is: 92,483.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,846.19 : 181,287.71 = 61,649.57 : x
  2. Step 2: Convert to fraction form
    120,846.19/181,287.71 = 61,649.57/x
  3. Step 3: Cross multiply
    120,846.19x = 181,287.71 × 61,649.57
  4. Step 4: Simplify right side
    120,846.19x = 11,176,309,367.78
  5. Step 5: Solve for x
    x = 11,176,309,367.78/120,846.19
  6. Step 6: Final answer
    x = 92,483.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.