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Finding the Fourth Proportional to 120,980.54, 181,352.55 and 54,437.42

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Solution

The fourth proportional to 120,980.54, 181,352.55 and 54,437.42 is: 81,602.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,980.54 : 181,352.55 = 54,437.42 : x
  2. Step 2: Convert to fraction form
    120,980.54/181,352.55 = 54,437.42/x
  3. Step 3: Cross multiply
    120,980.54x = 181,352.55 × 54,437.42
  4. Step 4: Simplify right side
    120,980.54x = 9,872,364,932.42
  5. Step 5: Solve for x
    x = 9,872,364,932.42/120,980.54
  6. Step 6: Final answer
    x = 81,602.92

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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.