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Finding the Fourth Proportional to 131,496, 181,464.50 and 71,880

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Solution

The fourth proportional to 131,496, 181,464.50 and 71,880 is: 99,194.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,496 : 181,464.50 = 71,880 : x
  2. Step 2: Convert to fraction form
    131,496/181,464.50 = 71,880/x
  3. Step 3: Cross multiply
    131,496x = 181,464.50 × 71,880
  4. Step 4: Simplify right side
    131,496x = 13,043,668,260
  5. Step 5: Solve for x
    x = 13,043,668,260/131,496
  6. Step 6: Final answer
    x = 99,194.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.