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Finding the Fourth Proportional to 123,729.40, 185,642.70 and 48,836.80

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Solution

The fourth proportional to 123,729.40, 185,642.70 and 48,836.80 is: 73,274.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,729.40 : 185,642.70 = 48,836.80 : x
  2. Step 2: Convert to fraction form
    123,729.40/185,642.70 = 48,836.80/x
  3. Step 3: Cross multiply
    123,729.40x = 185,642.70 × 48,836.80
  4. Step 4: Simplify right side
    123,729.40x = 9,066,195,411.36
  5. Step 5: Solve for x
    x = 9,066,195,411.36/123,729.40
  6. Step 6: Final answer
    x = 73,274.38

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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.