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Finding the Fourth Proportional to 181,783.96, 272,719.22 and 91,605.10

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Solution

The fourth proportional to 181,783.96, 272,719.22 and 91,605.10 is: 137,429.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,783.96 : 272,719.22 = 91,605.10 : x
  2. Step 2: Convert to fraction form
    181,783.96/272,719.22 = 91,605.10/x
  3. Step 3: Cross multiply
    181,783.96x = 272,719.22 × 91,605.10
  4. Step 4: Simplify right side
    181,783.96x = 24,982,471,420.02
  5. Step 5: Solve for x
    x = 24,982,471,420.02/181,783.96
  6. Step 6: Final answer
    x = 137,429.46

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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.