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Finding the Fourth Proportional to 81,509.64, 122,282.82 and 28,919.04

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Solution

The fourth proportional to 81,509.64, 122,282.82 and 28,919.04 is: 43,385.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,509.64 : 122,282.82 = 28,919.04 : x
  2. Step 2: Convert to fraction form
    81,509.64/122,282.82 = 28,919.04/x
  3. Step 3: Cross multiply
    81,509.64x = 122,282.82 × 28,919.04
  4. Step 4: Simplify right side
    81,509.64x = 3,536,301,762.89
  5. Step 5: Solve for x
    x = 3,536,301,762.89/81,509.64
  6. Step 6: Final answer
    x = 43,385.07

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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.