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Finding the Fourth Proportional to 40,606.50, 56,052.24 and 30,564

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Solution

The fourth proportional to 40,606.50, 56,052.24 and 30,564 is: 42,189.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,606.50 : 56,052.24 = 30,564 : x
  2. Step 2: Convert to fraction form
    40,606.50/56,052.24 = 30,564/x
  3. Step 3: Cross multiply
    40,606.50x = 56,052.24 × 30,564
  4. Step 4: Simplify right side
    40,606.50x = 1,713,180,663.36
  5. Step 5: Solve for x
    x = 1,713,180,663.36/40,606.50
  6. Step 6: Final answer
    x = 42,189.81

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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.