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Finding the Fourth Proportional to 181,617, 272,425.50 and 50,289

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Solution

The fourth proportional to 181,617, 272,425.50 and 50,289 is: 75,433.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,617 : 272,425.50 = 50,289 : x
  2. Step 2: Convert to fraction form
    181,617/272,425.50 = 50,289/x
  3. Step 3: Cross multiply
    181,617x = 272,425.50 × 50,289
  4. Step 4: Simplify right side
    181,617x = 13,700,005,969.50
  5. Step 5: Solve for x
    x = 13,700,005,969.50/181,617
  6. Step 6: Final answer
    x = 75,433.50

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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.