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Finding the Fourth Proportional to 76,354.50, 114,533.91 and 20,950.50

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Solution

The fourth proportional to 76,354.50, 114,533.91 and 20,950.50 is: 31,426.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,354.50 : 114,533.91 = 20,950.50 : x
  2. Step 2: Convert to fraction form
    76,354.50/114,533.91 = 20,950.50/x
  3. Step 3: Cross multiply
    76,354.50x = 114,533.91 × 20,950.50
  4. Step 4: Simplify right side
    76,354.50x = 2,399,542,681.46
  5. Step 5: Solve for x
    x = 2,399,542,681.46/76,354.50
  6. Step 6: Final answer
    x = 31,426.34

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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.