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Finding the Fourth Proportional to 231,817.20, 347,531.40 and 121,009.20

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Solution

The fourth proportional to 231,817.20, 347,531.40 and 121,009.20 is: 181,412.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,817.20 : 347,531.40 = 121,009.20 : x
  2. Step 2: Convert to fraction form
    231,817.20/347,531.40 = 121,009.20/x
  3. Step 3: Cross multiply
    231,817.20x = 347,531.40 × 121,009.20
  4. Step 4: Simplify right side
    231,817.20x = 42,054,496,688.88
  5. Step 5: Solve for x
    x = 42,054,496,688.88/231,817.20
  6. Step 6: Final answer
    x = 181,412.32

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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.