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Finding the Fourth Proportional to 120,918, 181,381.06 and 54,358.34

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Solution

The fourth proportional to 120,918, 181,381.06 and 54,358.34 is: 81,539.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,918 : 181,381.06 = 54,358.34 : x
  2. Step 2: Convert to fraction form
    120,918/181,381.06 = 54,358.34/x
  3. Step 3: Cross multiply
    120,918x = 181,381.06 × 54,358.34
  4. Step 4: Simplify right side
    120,918x = 9,859,573,329.04
  5. Step 5: Solve for x
    x = 9,859,573,329.04/120,918
  6. Step 6: Final answer
    x = 81,539.34

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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.