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Finding the Fourth Proportional to 181,821.60, 272,440.80 and 119,419.20

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Solution

The fourth proportional to 181,821.60, 272,440.80 and 119,419.20 is: 178,937.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,821.60 : 272,440.80 = 119,419.20 : x
  2. Step 2: Convert to fraction form
    181,821.60/272,440.80 = 119,419.20/x
  3. Step 3: Cross multiply
    181,821.60x = 272,440.80 × 119,419.20
  4. Step 4: Simplify right side
    181,821.60x = 32,534,662,383.36
  5. Step 5: Solve for x
    x = 32,534,662,383.36/181,821.60
  6. Step 6: Final answer
    x = 178,937.28

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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.