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Finding the Fourth Proportional to 120,876.94, 181,374.81 and 54,364.06

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Solution

The fourth proportional to 120,876.94, 181,374.81 and 54,364.06 is: 81,572.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,876.94 : 181,374.81 = 54,364.06 : x
  2. Step 2: Convert to fraction form
    120,876.94/181,374.81 = 54,364.06/x
  3. Step 3: Cross multiply
    120,876.94x = 181,374.81 × 54,364.06
  4. Step 4: Simplify right side
    120,876.94x = 9,860,271,053.33
  5. Step 5: Solve for x
    x = 9,860,271,053.33/120,876.94
  6. Step 6: Final answer
    x = 81,572.80

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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.