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Finding the Fourth Proportional to 76,356.50, 114,536.92 and 20,952.50

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Solution

The fourth proportional to 76,356.50, 114,536.92 and 20,952.50 is: 31,429.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,356.50 : 114,536.92 = 20,952.50 : x
  2. Step 2: Convert to fraction form
    76,356.50/114,536.92 = 20,952.50/x
  3. Step 3: Cross multiply
    76,356.50x = 114,536.92 × 20,952.50
  4. Step 4: Simplify right side
    76,356.50x = 2,399,834,816.30
  5. Step 5: Solve for x
    x = 2,399,834,816.30/76,356.50
  6. Step 6: Final answer
    x = 31,429.35

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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.