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Finding the Fourth Proportional to 181,840, 272,769.72 and 57,190.72

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Solution

The fourth proportional to 181,840, 272,769.72 and 57,190.72 is: 85,789.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,840 : 272,769.72 = 57,190.72 : x
  2. Step 2: Convert to fraction form
    181,840/272,769.72 = 57,190.72/x
  3. Step 3: Cross multiply
    181,840x = 272,769.72 × 57,190.72
  4. Step 4: Simplify right side
    181,840x = 15,599,896,681.00
  5. Step 5: Solve for x
    x = 15,599,896,681.00/181,840
  6. Step 6: Final answer
    x = 85,789.14

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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.