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Finding the Fourth Proportional to 73,564, 101,519.96 and 40,030

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Solution

The fourth proportional to 73,564, 101,519.96 and 40,030 is: 55,242.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,564 : 101,519.96 = 40,030 : x
  2. Step 2: Convert to fraction form
    73,564/101,519.96 = 40,030/x
  3. Step 3: Cross multiply
    73,564x = 101,519.96 × 40,030
  4. Step 4: Simplify right side
    73,564x = 4,063,843,998.80
  5. Step 5: Solve for x
    x = 4,063,843,998.80/73,564
  6. Step 6: Final answer
    x = 55,242.29

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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.