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Finding the Fourth Proportional to 145,573.70, 200,894.76 and 81,911.49

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Solution

The fourth proportional to 145,573.70, 200,894.76 and 81,911.49 is: 113,039.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,573.70 : 200,894.76 = 81,911.49 : x
  2. Step 2: Convert to fraction form
    145,573.70/200,894.76 = 81,911.49/x
  3. Step 3: Cross multiply
    145,573.70x = 200,894.76 × 81,911.49
  4. Step 4: Simplify right side
    145,573.70x = 16,455,589,124.79
  5. Step 5: Solve for x
    x = 16,455,589,124.79/145,573.70
  6. Step 6: Final answer
    x = 113,039.58

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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.