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Finding the Fourth Proportional to 89,219, 133,880.34 and 39,971

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Solution

The fourth proportional to 89,219, 133,880.34 and 39,971 is: 59,979.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,219 : 133,880.34 = 39,971 : x
  2. Step 2: Convert to fraction form
    89,219/133,880.34 = 39,971/x
  3. Step 3: Cross multiply
    89,219x = 133,880.34 × 39,971
  4. Step 4: Simplify right side
    89,219x = 5,351,331,070.14
  5. Step 5: Solve for x
    x = 5,351,331,070.14/89,219
  6. Step 6: Final answer
    x = 59,979.72

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1.5x scale

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.