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Finding the Fourth Proportional to 67,564, 101,362.40 and 20,816.88

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Solution

The fourth proportional to 67,564, 101,362.40 and 20,816.88 is: 31,230.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,564 : 101,362.40 = 20,816.88 : x
  2. Step 2: Convert to fraction form
    67,564/101,362.40 = 20,816.88/x
  3. Step 3: Cross multiply
    67,564x = 101,362.40 × 20,816.88
  4. Step 4: Simplify right side
    67,564x = 2,110,048,917.31
  5. Step 5: Solve for x
    x = 2,110,048,917.31/67,564
  6. Step 6: Final answer
    x = 31,230.37

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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.