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Finding the Fourth Proportional to 81,433.98, 122,289.66 and 53,019.30

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Solution

The fourth proportional to 81,433.98, 122,289.66 and 53,019.30 is: 79,619.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,433.98 : 122,289.66 = 53,019.30 : x
  2. Step 2: Convert to fraction form
    81,433.98/122,289.66 = 53,019.30/x
  3. Step 3: Cross multiply
    81,433.98x = 122,289.66 × 53,019.30
  4. Step 4: Simplify right side
    81,433.98x = 6,483,712,170.44
  5. Step 5: Solve for x
    x = 6,483,712,170.44/81,433.98
  6. Step 6: Final answer
    x = 79,619.25

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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.