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Finding the Fourth Proportional to 103,785.84, 143,478.96 and 102,838.08

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Solution

The fourth proportional to 103,785.84, 143,478.96 and 102,838.08 is: 142,168.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,785.84 : 143,478.96 = 102,838.08 : x
  2. Step 2: Convert to fraction form
    103,785.84/143,478.96 = 102,838.08/x
  3. Step 3: Cross multiply
    103,785.84x = 143,478.96 × 102,838.08
  4. Step 4: Simplify right side
    103,785.84x = 14,755,100,766.80
  5. Step 5: Solve for x
    x = 14,755,100,766.80/103,785.84
  6. Step 6: Final answer
    x = 142,168.73

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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.