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Finding the Fourth Proportional to 119,920.53, 179,862.80 and 75,411.57

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Solution

The fourth proportional to 119,920.53, 179,862.80 and 75,411.57 is: 113,106.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,920.53 : 179,862.80 = 75,411.57 : x
  2. Step 2: Convert to fraction form
    119,920.53/179,862.80 = 75,411.57/x
  3. Step 3: Cross multiply
    119,920.53x = 179,862.80 × 75,411.57
  4. Step 4: Simplify right side
    119,920.53x = 13,563,735,755.54
  5. Step 5: Solve for x
    x = 13,563,735,755.54/119,920.53
  6. Step 6: Final answer
    x = 113,106.04

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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.