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Finding the Fourth Proportional to 123,509.48, 185,512.20 and 73,686.78

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Solution

The fourth proportional to 123,509.48, 185,512.20 and 73,686.78 is: 110,678.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,509.48 : 185,512.20 = 73,686.78 : x
  2. Step 2: Convert to fraction form
    123,509.48/185,512.20 = 73,686.78/x
  3. Step 3: Cross multiply
    123,509.48x = 185,512.20 × 73,686.78
  4. Step 4: Simplify right side
    123,509.48x = 13,669,796,668.72
  5. Step 5: Solve for x
    x = 13,669,796,668.72/123,509.48
  6. Step 6: Final answer
    x = 110,678.12

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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.