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Finding the Fourth Proportional to 143,783, 198,417.87 and 78,372.38

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Solution

The fourth proportional to 143,783, 198,417.87 and 78,372.38 is: 108,152.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,783 : 198,417.87 = 78,372.38 : x
  2. Step 2: Convert to fraction form
    143,783/198,417.87 = 78,372.38/x
  3. Step 3: Cross multiply
    143,783x = 198,417.87 × 78,372.38
  4. Step 4: Simplify right side
    143,783x = 15,550,480,706.43
  5. Step 5: Solve for x
    x = 15,550,480,706.43/143,783
  6. Step 6: Final answer
    x = 108,152.43

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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.