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Finding the Fourth Proportional to 40,859.13, 56,388.02 and 30,769.77

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Solution

The fourth proportional to 40,859.13, 56,388.02 and 30,769.77 is: 42,464.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,859.13 : 56,388.02 = 30,769.77 : x
  2. Step 2: Convert to fraction form
    40,859.13/56,388.02 = 30,769.77/x
  3. Step 3: Cross multiply
    40,859.13x = 56,388.02 × 30,769.77
  4. Step 4: Simplify right side
    40,859.13x = 1,735,046,406.16
  5. Step 5: Solve for x
    x = 1,735,046,406.16/40,859.13
  6. Step 6: Final answer
    x = 42,464.11

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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.