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Finding the Fourth Proportional to 159,102.72, 238,762.62 and 84,219.84

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Solution

The fourth proportional to 159,102.72, 238,762.62 and 84,219.84 is: 126,387.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,102.72 : 238,762.62 = 84,219.84 : x
  2. Step 2: Convert to fraction form
    159,102.72/238,762.62 = 84,219.84/x
  3. Step 3: Cross multiply
    159,102.72x = 238,762.62 × 84,219.84
  4. Step 4: Simplify right side
    159,102.72x = 20,108,549,654.38
  5. Step 5: Solve for x
    x = 20,108,549,654.38/159,102.72
  6. Step 6: Final answer
    x = 126,387.21

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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.