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Finding the Fourth Proportional to 66,039.30, 98,965.74 and 51,178.68

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Solution

The fourth proportional to 66,039.30, 98,965.74 and 51,178.68 is: 76,695.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,039.30 : 98,965.74 = 51,178.68 : x
  2. Step 2: Convert to fraction form
    66,039.30/98,965.74 = 51,178.68/x
  3. Step 3: Cross multiply
    66,039.30x = 98,965.74 × 51,178.68
  4. Step 4: Simplify right side
    66,039.30x = 5,064,935,938.42
  5. Step 5: Solve for x
    x = 5,064,935,938.42/66,039.30
  6. Step 6: Final answer
    x = 76,695.78

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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.