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Finding the Fourth Proportional to 145,080.64, 200,211.39 and 81,418.43

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Solution

The fourth proportional to 145,080.64, 200,211.39 and 81,418.43 is: 112,357.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,080.64 : 200,211.39 = 81,418.43 : x
  2. Step 2: Convert to fraction form
    145,080.64/200,211.39 = 81,418.43/x
  3. Step 3: Cross multiply
    145,080.64x = 200,211.39 × 81,418.43
  4. Step 4: Simplify right side
    145,080.64x = 16,300,897,041.92
  5. Step 5: Solve for x
    x = 16,300,897,041.92/145,080.64
  6. Step 6: Final answer
    x = 112,357.49

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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.