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Finding the Fourth Proportional to 145,976.70, 201,447.90 and 78,908.70

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Solution

The fourth proportional to 145,976.70, 201,447.90 and 78,908.70 is: 108,894.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,976.70 : 201,447.90 = 78,908.70 : x
  2. Step 2: Convert to fraction form
    145,976.70/201,447.90 = 78,908.70/x
  3. Step 3: Cross multiply
    145,976.70x = 201,447.90 × 78,908.70
  4. Step 4: Simplify right side
    145,976.70x = 15,895,991,906.73
  5. Step 5: Solve for x
    x = 15,895,991,906.73/145,976.70
  6. Step 6: Final answer
    x = 108,894.04

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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.