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Finding the Fourth Proportional to 181,725.64, 272,792.94 and 76,633

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Solution

The fourth proportional to 181,725.64, 272,792.94 and 76,633 is: 115,035.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,725.64 : 272,792.94 = 76,633 : x
  2. Step 2: Convert to fraction form
    181,725.64/272,792.94 = 76,633/x
  3. Step 3: Cross multiply
    181,725.64x = 272,792.94 × 76,633
  4. Step 4: Simplify right side
    181,725.64x = 20,904,941,371.02
  5. Step 5: Solve for x
    x = 20,904,941,371.02/181,725.64
  6. Step 6: Final answer
    x = 115,035.73

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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.