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Finding the Fourth Proportional to 181,724.40, 272,003.40 and 142,066.80

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Solution

The fourth proportional to 181,724.40, 272,003.40 and 142,066.80 is: 212,644.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,724.40 : 272,003.40 = 142,066.80 : x
  2. Step 2: Convert to fraction form
    181,724.40/272,003.40 = 142,066.80/x
  3. Step 3: Cross multiply
    181,724.40x = 272,003.40 × 142,066.80
  4. Step 4: Simplify right side
    181,724.40x = 38,642,652,627.12
  5. Step 5: Solve for x
    x = 38,642,652,627.12/181,724.40
  6. Step 6: Final answer
    x = 212,644.27

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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.