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Finding the Fourth Proportional to 112,992.72, 169,515.05 and 49,830.80

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Solution

The fourth proportional to 112,992.72, 169,515.05 and 49,830.80 is: 74,757.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,992.72 : 169,515.05 = 49,830.80 : x
  2. Step 2: Convert to fraction form
    112,992.72/169,515.05 = 49,830.80/x
  3. Step 3: Cross multiply
    112,992.72x = 169,515.05 × 49,830.80
  4. Step 4: Simplify right side
    112,992.72x = 8,447,069,877.26
  5. Step 5: Solve for x
    x = 8,447,069,877.26/112,992.72
  6. Step 6: Final answer
    x = 74,757.65

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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.