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Finding the Fourth Proportional to 71,254, 106,881 and 30,710.89

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Solution

The fourth proportional to 71,254, 106,881 and 30,710.89 is: 46,066.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,254 : 106,881 = 30,710.89 : x
  2. Step 2: Convert to fraction form
    71,254/106,881 = 30,710.89/x
  3. Step 3: Cross multiply
    71,254x = 106,881 × 30,710.89
  4. Step 4: Simplify right side
    71,254x = 3,282,410,634.09
  5. Step 5: Solve for x
    x = 3,282,410,634.09/71,254
  6. Step 6: Final answer
    x = 46,066.34

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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.