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Finding the Fourth Proportional to 121,920.46, 182,880.72 and 51,750.56

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Solution

The fourth proportional to 121,920.46, 182,880.72 and 51,750.56 is: 77,625.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,920.46 : 182,880.72 = 51,750.56 : x
  2. Step 2: Convert to fraction form
    121,920.46/182,880.72 = 51,750.56/x
  3. Step 3: Cross multiply
    121,920.46x = 182,880.72 × 51,750.56
  4. Step 4: Simplify right side
    121,920.46x = 9,464,180,130.41
  5. Step 5: Solve for x
    x = 9,464,180,130.41/121,920.46
  6. Step 6: Final answer
    x = 77,625.86

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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.