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Finding the Fourth Proportional to 123,509.47, 185,512.20 and 73,686.91

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Solution

The fourth proportional to 123,509.47, 185,512.20 and 73,686.91 is: 110,678.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,509.47 : 185,512.20 = 73,686.91 : x
  2. Step 2: Convert to fraction form
    123,509.47/185,512.20 = 73,686.91/x
  3. Step 3: Cross multiply
    123,509.47x = 185,512.20 × 73,686.91
  4. Step 4: Simplify right side
    123,509.47x = 13,669,820,785.30
  5. Step 5: Solve for x
    x = 13,669,820,785.30/123,509.47
  6. Step 6: Final answer
    x = 110,678.32

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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.