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Finding the Fourth Proportional to 145,524.83, 200,813.45 and 81,850.32

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Solution

The fourth proportional to 145,524.83, 200,813.45 and 81,850.32 is: 112,947.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,524.83 : 200,813.45 = 81,850.32 : x
  2. Step 2: Convert to fraction form
    145,524.83/200,813.45 = 81,850.32/x
  3. Step 3: Cross multiply
    145,524.83x = 200,813.45 × 81,850.32
  4. Step 4: Simplify right side
    145,524.83x = 16,436,644,733.55
  5. Step 5: Solve for x
    x = 16,436,644,733.55/145,524.83
  6. Step 6: Final answer
    x = 112,947.36

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1.5x scale

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.