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Finding the Fourth Proportional to 89,213, 133,871.34 and 39,965

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Solution

The fourth proportional to 89,213, 133,871.34 and 39,965 is: 59,970.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,213 : 133,871.34 = 39,965 : x
  2. Step 2: Convert to fraction form
    89,213/133,871.34 = 39,965/x
  3. Step 3: Cross multiply
    89,213x = 133,871.34 × 39,965
  4. Step 4: Simplify right side
    89,213x = 5,350,168,103.10
  5. Step 5: Solve for x
    x = 5,350,168,103.10/89,213
  6. Step 6: Final answer
    x = 59,970.72

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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.