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Finding the Fourth Proportional to 145,494.34, 200,766.54 and 81,818.62

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Solution

The fourth proportional to 145,494.34, 200,766.54 and 81,818.62 is: 112,900.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,494.34 : 200,766.54 = 81,818.62 : x
  2. Step 2: Convert to fraction form
    145,494.34/200,766.54 = 81,818.62/x
  3. Step 3: Cross multiply
    145,494.34x = 200,766.54 × 81,818.62
  4. Step 4: Simplify right side
    145,494.34x = 16,426,441,244.97
  5. Step 5: Solve for x
    x = 16,426,441,244.97/145,494.34
  6. Step 6: Final answer
    x = 112,900.90

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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.