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Finding the Fourth Proportional to 120,030.80, 179,994.36 and 49,862.12

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Solution

The fourth proportional to 120,030.80, 179,994.36 and 49,862.12 is: 74,771.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,030.80 : 179,994.36 = 49,862.12 : x
  2. Step 2: Convert to fraction form
    120,030.80/179,994.36 = 49,862.12/x
  3. Step 3: Cross multiply
    120,030.80x = 179,994.36 × 49,862.12
  4. Step 4: Simplify right side
    120,030.80x = 8,974,900,377.64
  5. Step 5: Solve for x
    x = 8,974,900,377.64/120,030.80
  6. Step 6: Final answer
    x = 74,771.65

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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.