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Finding the Fourth Proportional to 131,499.84, 181,466.40 and 71,880

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Solution

The fourth proportional to 131,499.84, 181,466.40 and 71,880 is: 99,192.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,499.84 : 181,466.40 = 71,880 : x
  2. Step 2: Convert to fraction form
    131,499.84/181,466.40 = 71,880/x
  3. Step 3: Cross multiply
    131,499.84x = 181,466.40 × 71,880
  4. Step 4: Simplify right side
    131,499.84x = 13,043,804,832
  5. Step 5: Solve for x
    x = 13,043,804,832/131,499.84
  6. Step 6: Final answer
    x = 99,192.55

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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.