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Finding the Fourth Proportional to 78,102.88, 107,781.96 and 49,824.88

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Solution

The fourth proportional to 78,102.88, 107,781.96 and 49,824.88 is: 68,758.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,102.88 : 107,781.96 = 49,824.88 : x
  2. Step 2: Convert to fraction form
    78,102.88/107,781.96 = 49,824.88/x
  3. Step 3: Cross multiply
    78,102.88x = 107,781.96 × 49,824.88
  4. Step 4: Simplify right side
    78,102.88x = 5,370,223,223.16
  5. Step 5: Solve for x
    x = 5,370,223,223.16/78,102.88
  6. Step 6: Final answer
    x = 68,758.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.