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Finding the Fourth Proportional to 89,212, 133,869.84 and 39,964

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Solution

The fourth proportional to 89,212, 133,869.84 and 39,964 is: 59,969.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,212 : 133,869.84 = 39,964 : x
  2. Step 2: Convert to fraction form
    89,212/133,869.84 = 39,964/x
  3. Step 3: Cross multiply
    89,212x = 133,869.84 × 39,964
  4. Step 4: Simplify right side
    89,212x = 5,349,974,285.76
  5. Step 5: Solve for x
    x = 5,349,974,285.76/89,212
  6. Step 6: Final answer
    x = 59,969.22

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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.