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Finding the Fourth Proportional to 145,605.62, 200,920.20 and 81,942.32

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Solution

The fourth proportional to 145,605.62, 200,920.20 and 81,942.32 is: 113,071.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,605.62 : 200,920.20 = 81,942.32 : x
  2. Step 2: Convert to fraction form
    145,605.62/200,920.20 = 81,942.32/x
  3. Step 3: Cross multiply
    145,605.62x = 200,920.20 × 81,942.32
  4. Step 4: Simplify right side
    145,605.62x = 16,463,867,322.86
  5. Step 5: Solve for x
    x = 16,463,867,322.86/145,605.62
  6. Step 6: Final answer
    x = 113,071.65

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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.