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Finding the Fourth Proportional to 81,417.32, 122,125.02 and 45,881.32

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Solution

The fourth proportional to 81,417.32, 122,125.02 and 45,881.32 is: 68,821.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,417.32 : 122,125.02 = 45,881.32 : x
  2. Step 2: Convert to fraction form
    81,417.32/122,125.02 = 45,881.32/x
  3. Step 3: Cross multiply
    81,417.32x = 122,125.02 × 45,881.32
  4. Step 4: Simplify right side
    81,417.32x = 5,603,257,122.63
  5. Step 5: Solve for x
    x = 5,603,257,122.63/81,417.32
  6. Step 6: Final answer
    x = 68,821.44

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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.