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Finding the Fourth Proportional to 81,344.66, 122,051.90 and 31,459.76

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Solution

The fourth proportional to 81,344.66, 122,051.90 and 31,459.76 is: 47,203.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,344.66 : 122,051.90 = 31,459.76 : x
  2. Step 2: Convert to fraction form
    81,344.66/122,051.90 = 31,459.76/x
  3. Step 3: Cross multiply
    81,344.66x = 122,051.90 × 31,459.76
  4. Step 4: Simplify right side
    81,344.66x = 3,839,723,368.30
  5. Step 5: Solve for x
    x = 3,839,723,368.30/81,344.66
  6. Step 6: Final answer
    x = 47,203.14

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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.