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Finding the Fourth Proportional to 40,864, 61,310.76 and 20,102.08

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Solution

The fourth proportional to 40,864, 61,310.76 and 20,102.08 is: 30,160.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,864 : 61,310.76 = 20,102.08 : x
  2. Step 2: Convert to fraction form
    40,864/61,310.76 = 20,102.08/x
  3. Step 3: Cross multiply
    40,864x = 61,310.76 × 20,102.08
  4. Step 4: Simplify right side
    40,864x = 1,232,473,802.38
  5. Step 5: Solve for x
    x = 1,232,473,802.38/40,864
  6. Step 6: Final answer
    x = 30,160.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.