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Finding the Fourth Proportional to 120,803.52, 181,203.84 and 85,117.44

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Solution

The fourth proportional to 120,803.52, 181,203.84 and 85,117.44 is: 127,675.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,803.52 : 181,203.84 = 85,117.44 : x
  2. Step 2: Convert to fraction form
    120,803.52/181,203.84 = 85,117.44/x
  3. Step 3: Cross multiply
    120,803.52x = 181,203.84 × 85,117.44
  4. Step 4: Simplify right side
    120,803.52x = 15,423,606,978.97
  5. Step 5: Solve for x
    x = 15,423,606,978.97/120,803.52
  6. Step 6: Final answer
    x = 127,675.15

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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.