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Finding the Fourth Proportional to 123,681.90, 185,571.45 and 48,789.30

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Solution

The fourth proportional to 123,681.90, 185,571.45 and 48,789.30 is: 73,203.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,681.90 : 185,571.45 = 48,789.30 : x
  2. Step 2: Convert to fraction form
    123,681.90/185,571.45 = 48,789.30/x
  3. Step 3: Cross multiply
    123,681.90x = 185,571.45 × 48,789.30
  4. Step 4: Simplify right side
    123,681.90x = 9,053,901,145.49
  5. Step 5: Solve for x
    x = 9,053,901,145.49/123,681.90
  6. Step 6: Final answer
    x = 73,203.12

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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.