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Finding the Fourth Proportional to 120,973.88, 181,491.39 and 85,504.92

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Solution

The fourth proportional to 120,973.88, 181,491.39 and 85,504.92 is: 128,278.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,973.88 : 181,491.39 = 85,504.92 : x
  2. Step 2: Convert to fraction form
    120,973.88/181,491.39 = 85,504.92/x
  3. Step 3: Cross multiply
    120,973.88x = 181,491.39 × 85,504.92
  4. Step 4: Simplify right side
    120,973.88x = 15,518,406,782.64
  5. Step 5: Solve for x
    x = 15,518,406,782.64/120,973.88
  6. Step 6: Final answer
    x = 128,278.99

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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.