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Finding the Fourth Proportional to 159,403.67, 239,142.39 and 54,222.63

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Solution

The fourth proportional to 159,403.67, 239,142.39 and 54,222.63 is: 81,346.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,403.67 : 239,142.39 = 54,222.63 : x
  2. Step 2: Convert to fraction form
    159,403.67/239,142.39 = 54,222.63/x
  3. Step 3: Cross multiply
    159,403.67x = 239,142.39 × 54,222.63
  4. Step 4: Simplify right side
    159,403.67x = 12,966,929,330.29
  5. Step 5: Solve for x
    x = 12,966,929,330.29/159,403.67
  6. Step 6: Final answer
    x = 81,346.49

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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.